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Finding the Fourth Proportional to 678.56, 938.24 and 592.16

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Solution

The fourth proportional to 678.56, 938.24 and 592.16 is: 818.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.56 : 938.24 = 592.16 : x
  2. Step 2: Convert to fraction form
    678.56/938.24 = 592.16/x
  3. Step 3: Cross multiply
    678.56x = 938.24 × 592.16
  4. Step 4: Simplify right side
    678.56x = 555,588.20
  5. Step 5: Solve for x
    x = 555,588.20/678.56
  6. Step 6: Final answer
    x = 818.78

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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.