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Finding the Fourth Proportional to 614.27, 921.56 and 476.98

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Solution

The fourth proportional to 614.27, 921.56 and 476.98 is: 715.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.27 : 921.56 = 476.98 : x
  2. Step 2: Convert to fraction form
    614.27/921.56 = 476.98/x
  3. Step 3: Cross multiply
    614.27x = 921.56 × 476.98
  4. Step 4: Simplify right side
    614.27x = 439,565.69
  5. Step 5: Solve for x
    x = 439,565.69/614.27
  6. Step 6: Final answer
    x = 715.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.