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Finding the Fourth Proportional to 1,140.71, 1,711.58 and 482.76

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Solution

The fourth proportional to 1,140.71, 1,711.58 and 482.76 is: 724.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.71 : 1,711.58 = 482.76 : x
  2. Step 2: Convert to fraction form
    1,140.71/1,711.58 = 482.76/x
  3. Step 3: Cross multiply
    1,140.71x = 1,711.58 × 482.76
  4. Step 4: Simplify right side
    1,140.71x = 826,279.95
  5. Step 5: Solve for x
    x = 826,279.95/1,140.71
  6. Step 6: Final answer
    x = 724.36

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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.