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Finding the Fourth Proportional to 1,285.31, 1,926.42 and 591.02

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Solution

The fourth proportional to 1,285.31, 1,926.42 and 591.02 is: 885.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.31 : 1,926.42 = 591.02 : x
  2. Step 2: Convert to fraction form
    1,285.31/1,926.42 = 591.02/x
  3. Step 3: Cross multiply
    1,285.31x = 1,926.42 × 591.02
  4. Step 4: Simplify right side
    1,285.31x = 1,138,549.79
  5. Step 5: Solve for x
    x = 1,138,549.79/1,285.31
  6. Step 6: Final answer
    x = 885.82

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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.