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Finding the Fourth Proportional to 1,142.12, 1,711.82 and 557

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Solution

The fourth proportional to 1,142.12, 1,711.82 and 557 is: 834.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.12 : 1,711.82 = 557 : x
  2. Step 2: Convert to fraction form
    1,142.12/1,711.82 = 557/x
  3. Step 3: Cross multiply
    1,142.12x = 1,711.82 × 557
  4. Step 4: Simplify right side
    1,142.12x = 953,483.74
  5. Step 5: Solve for x
    x = 953,483.74/1,142.12
  6. Step 6: Final answer
    x = 834.84

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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.