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Finding the Fourth Proportional to 932.03, 1,286.26 and 616.75

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Solution

The fourth proportional to 932.03, 1,286.26 and 616.75 is: 851.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.03 : 1,286.26 = 616.75 : x
  2. Step 2: Convert to fraction form
    932.03/1,286.26 = 616.75/x
  3. Step 3: Cross multiply
    932.03x = 1,286.26 × 616.75
  4. Step 4: Simplify right side
    932.03x = 793,302.40
  5. Step 5: Solve for x
    x = 793,302.40/932.03
  6. Step 6: Final answer
    x = 851.16

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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.