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Finding the Fourth Proportional to 712.23, 983.49 and 502.88

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Solution

The fourth proportional to 712.23, 983.49 and 502.88 is: 694.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.23 : 983.49 = 502.88 : x
  2. Step 2: Convert to fraction form
    712.23/983.49 = 502.88/x
  3. Step 3: Cross multiply
    712.23x = 983.49 × 502.88
  4. Step 4: Simplify right side
    712.23x = 494,572.53
  5. Step 5: Solve for x
    x = 494,572.53/712.23
  6. Step 6: Final answer
    x = 694.40

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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.