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Finding the Fourth Proportional to 1,252.52, 1,877.20 and 594.38

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Solution

The fourth proportional to 1,252.52, 1,877.20 and 594.38 is: 890.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.52 : 1,877.20 = 594.38 : x
  2. Step 2: Convert to fraction form
    1,252.52/1,877.20 = 594.38/x
  3. Step 3: Cross multiply
    1,252.52x = 1,877.20 × 594.38
  4. Step 4: Simplify right side
    1,252.52x = 1,115,770.14
  5. Step 5: Solve for x
    x = 1,115,770.14/1,252.52
  6. Step 6: Final answer
    x = 890.82

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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.