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Finding the Fourth Proportional to 1,142.55, 1,710.18 and 813.29

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Solution

The fourth proportional to 1,142.55, 1,710.18 and 813.29 is: 1,217.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.55 : 1,710.18 = 813.29 : x
  2. Step 2: Convert to fraction form
    1,142.55/1,710.18 = 813.29/x
  3. Step 3: Cross multiply
    1,142.55x = 1,710.18 × 813.29
  4. Step 4: Simplify right side
    1,142.55x = 1,390,863.74
  5. Step 5: Solve for x
    x = 1,390,863.74/1,142.55
  6. Step 6: Final answer
    x = 1,217.33

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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.