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Finding the Fourth Proportional to 1,118.93, 1,544.63 and 676.76

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Solution

The fourth proportional to 1,118.93, 1,544.63 and 676.76 is: 934.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.93 : 1,544.63 = 676.76 : x
  2. Step 2: Convert to fraction form
    1,118.93/1,544.63 = 676.76/x
  3. Step 3: Cross multiply
    1,118.93x = 1,544.63 × 676.76
  4. Step 4: Simplify right side
    1,118.93x = 1,045,332.69
  5. Step 5: Solve for x
    x = 1,045,332.69/1,118.93
  6. Step 6: Final answer
    x = 934.23

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Half scale
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Double scale
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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.