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Finding the Fourth Proportional to 712.50, 983.44 and 502.71

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Solution

The fourth proportional to 712.50, 983.44 and 502.71 is: 693.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.50 : 983.44 = 502.71 : x
  2. Step 2: Convert to fraction form
    712.50/983.44 = 502.71/x
  3. Step 3: Cross multiply
    712.50x = 983.44 × 502.71
  4. Step 4: Simplify right side
    712.50x = 494,382.06
  5. Step 5: Solve for x
    x = 494,382.06/712.50
  6. Step 6: Final answer
    x = 693.87

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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.