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Finding the Fourth Proportional to 411.98, 614.64 and 397.04

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Solution

The fourth proportional to 411.98, 614.64 and 397.04 is: 592.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.98 : 614.64 = 397.04 : x
  2. Step 2: Convert to fraction form
    411.98/614.64 = 397.04/x
  3. Step 3: Cross multiply
    411.98x = 614.64 × 397.04
  4. Step 4: Simplify right side
    411.98x = 244,036.67
  5. Step 5: Solve for x
    x = 244,036.67/411.98
  6. Step 6: Final answer
    x = 592.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.