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Finding the Fourth Proportional to 713.47, 984.57 and 503.42

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Solution

The fourth proportional to 713.47, 984.57 and 503.42 is: 694.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.47 : 984.57 = 503.42 : x
  2. Step 2: Convert to fraction form
    713.47/984.57 = 503.42/x
  3. Step 3: Cross multiply
    713.47x = 984.57 × 503.42
  4. Step 4: Simplify right side
    713.47x = 495,652.23
  5. Step 5: Solve for x
    x = 495,652.23/713.47
  6. Step 6: Final answer
    x = 694.71

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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.