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Finding the Fourth Proportional to 1,117.86, 1,542.69 and 675.67

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Solution

The fourth proportional to 1,117.86, 1,542.69 and 675.67 is: 932.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.86 : 1,542.69 = 675.67 : x
  2. Step 2: Convert to fraction form
    1,117.86/1,542.69 = 675.67/x
  3. Step 3: Cross multiply
    1,117.86x = 1,542.69 × 675.67
  4. Step 4: Simplify right side
    1,117.86x = 1,042,349.35
  5. Step 5: Solve for x
    x = 1,042,349.35/1,117.86
  6. Step 6: Final answer
    x = 932.45

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.