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Finding the Fourth Proportional to 1,061.25, 1,591.92 and 291.75

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Solution

The fourth proportional to 1,061.25, 1,591.92 and 291.75 is: 437.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.25 : 1,591.92 = 291.75 : x
  2. Step 2: Convert to fraction form
    1,061.25/1,591.92 = 291.75/x
  3. Step 3: Cross multiply
    1,061.25x = 1,591.92 × 291.75
  4. Step 4: Simplify right side
    1,061.25x = 464,442.66
  5. Step 5: Solve for x
    x = 464,442.66/1,061.25
  6. Step 6: Final answer
    x = 437.64

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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.