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Finding the Fourth Proportional to 1,711.52, 2,567.78 and 557.24

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Solution

The fourth proportional to 1,711.52, 2,567.78 and 557.24 is: 836.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711.52 : 2,567.78 = 557.24 : x
  2. Step 2: Convert to fraction form
    1,711.52/2,567.78 = 557.24/x
  3. Step 3: Cross multiply
    1,711.52x = 2,567.78 × 557.24
  4. Step 4: Simplify right side
    1,711.52x = 1,430,869.73
  5. Step 5: Solve for x
    x = 1,430,869.73/1,711.52
  6. Step 6: Final answer
    x = 836.02

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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.