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Finding the Fourth Proportional to 584.20, 805.92 and 387.40

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Solution

The fourth proportional to 584.20, 805.92 and 387.40 is: 534.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.20 : 805.92 = 387.40 : x
  2. Step 2: Convert to fraction form
    584.20/805.92 = 387.40/x
  3. Step 3: Cross multiply
    584.20x = 805.92 × 387.40
  4. Step 4: Simplify right side
    584.20x = 312,213.41
  5. Step 5: Solve for x
    x = 312,213.41/584.20
  6. Step 6: Final answer
    x = 534.43

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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.