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Finding the Fourth Proportional to 712.35, 983.13 and 502.32

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Solution

The fourth proportional to 712.35, 983.13 and 502.32 is: 693.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.35 : 983.13 = 502.32 : x
  2. Step 2: Convert to fraction form
    712.35/983.13 = 502.32/x
  3. Step 3: Cross multiply
    712.35x = 983.13 × 502.32
  4. Step 4: Simplify right side
    712.35x = 493,845.86
  5. Step 5: Solve for x
    x = 493,845.86/712.35
  6. Step 6: Final answer
    x = 693.26

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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.