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Finding the Fourth Proportional to 584.38, 806.16 and 387.64

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Solution

The fourth proportional to 584.38, 806.16 and 387.64 is: 534.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.38 : 806.16 = 387.64 : x
  2. Step 2: Convert to fraction form
    584.38/806.16 = 387.64/x
  3. Step 3: Cross multiply
    584.38x = 806.16 × 387.64
  4. Step 4: Simplify right side
    584.38x = 312,499.86
  5. Step 5: Solve for x
    x = 312,499.86/584.38
  6. Step 6: Final answer
    x = 534.75

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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.