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Finding the Fourth Proportional to 591.32, 815.66 and 392.15

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Solution

The fourth proportional to 591.32, 815.66 and 392.15 is: 540.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.32 : 815.66 = 392.15 : x
  2. Step 2: Convert to fraction form
    591.32/815.66 = 392.15/x
  3. Step 3: Cross multiply
    591.32x = 815.66 × 392.15
  4. Step 4: Simplify right side
    591.32x = 319,855.03
  5. Step 5: Solve for x
    x = 319,855.03/591.32
  6. Step 6: Final answer
    x = 540.92

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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.