Home / 1,117.35-1,542.27-785.87

Finding the Fourth Proportional to 1,117.35, 1,542.27 and 785.87

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Solution

The fourth proportional to 1,117.35, 1,542.27 and 785.87 is: 1,084.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.35 : 1,542.27 = 785.87 : x
  2. Step 2: Convert to fraction form
    1,117.35/1,542.27 = 785.87/x
  3. Step 3: Cross multiply
    1,117.35x = 1,542.27 × 785.87
  4. Step 4: Simplify right side
    1,117.35x = 1,212,016.01
  5. Step 5: Solve for x
    x = 1,212,016.01/1,117.35
  6. Step 6: Final answer
    x = 1,084.72

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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.