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Finding the Fourth Proportional to 614.71, 921.93 and 354.16

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Solution

The fourth proportional to 614.71, 921.93 and 354.16 is: 531.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.71 : 921.93 = 354.16 : x
  2. Step 2: Convert to fraction form
    614.71/921.93 = 354.16/x
  3. Step 3: Cross multiply
    614.71x = 921.93 × 354.16
  4. Step 4: Simplify right side
    614.71x = 326,510.73
  5. Step 5: Solve for x
    x = 326,510.73/614.71
  6. Step 6: Final answer
    x = 531.16

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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.