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Finding the Fourth Proportional to 410.00, 614.52 and 354.71

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Solution

The fourth proportional to 410.00, 614.52 and 354.71 is: 531.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.00 : 614.52 = 354.71 : x
  2. Step 2: Convert to fraction form
    410.00/614.52 = 354.71/x
  3. Step 3: Cross multiply
    410.00x = 614.52 × 354.71
  4. Step 4: Simplify right side
    410.00x = 217,977.93
  5. Step 5: Solve for x
    x = 217,977.93/410.00
  6. Step 6: Final answer
    x = 531.66

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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.