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Finding the Fourth Proportional to 498.14, 686.94 and 387.57

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Solution

The fourth proportional to 498.14, 686.94 and 387.57 is: 534.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.14 : 686.94 = 387.57 : x
  2. Step 2: Convert to fraction form
    498.14/686.94 = 387.57/x
  3. Step 3: Cross multiply
    498.14x = 686.94 × 387.57
  4. Step 4: Simplify right side
    498.14x = 266,237.34
  5. Step 5: Solve for x
    x = 266,237.34/498.14
  6. Step 6: Final answer
    x = 534.46

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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.