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Finding the Fourth Proportional to 1,711.25, 2,566.92 and 557

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Solution

The fourth proportional to 1,711.25, 2,566.92 and 557 is: 835.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711.25 : 2,566.92 = 557 : x
  2. Step 2: Convert to fraction form
    1,711.25/2,566.92 = 557/x
  3. Step 3: Cross multiply
    1,711.25x = 2,566.92 × 557
  4. Step 4: Simplify right side
    1,711.25x = 1,429,774.44
  5. Step 5: Solve for x
    x = 1,429,774.44/1,711.25
  6. Step 6: Final answer
    x = 835.51

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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.