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Finding the Fourth Proportional to 1,565.22, 2,347.61 and 591.20

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Solution

The fourth proportional to 1,565.22, 2,347.61 and 591.20 is: 886.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.22 : 2,347.61 = 591.20 : x
  2. Step 2: Convert to fraction form
    1,565.22/2,347.61 = 591.20/x
  3. Step 3: Cross multiply
    1,565.22x = 2,347.61 × 591.20
  4. Step 4: Simplify right side
    1,565.22x = 1,387,892.34
  5. Step 5: Solve for x
    x = 1,387,892.34/1,565.22
  6. Step 6: Final answer
    x = 886.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.