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Finding the Fourth Proportional to 584.38, 807.11 and 397.55

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Solution

The fourth proportional to 584.38, 807.11 and 397.55 is: 549.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.38 : 807.11 = 397.55 : x
  2. Step 2: Convert to fraction form
    584.38/807.11 = 397.55/x
  3. Step 3: Cross multiply
    584.38x = 807.11 × 397.55
  4. Step 4: Simplify right side
    584.38x = 320,864.59
  5. Step 5: Solve for x
    x = 320,864.59/584.38
  6. Step 6: Final answer
    x = 549.07

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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.