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Finding the Fourth Proportional to 1,140.62, 1,711.12 and 491.36

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Solution

The fourth proportional to 1,140.62, 1,711.12 and 491.36 is: 737.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.62 : 1,711.12 = 491.36 : x
  2. Step 2: Convert to fraction form
    1,140.62/1,711.12 = 491.36/x
  3. Step 3: Cross multiply
    1,140.62x = 1,711.12 × 491.36
  4. Step 4: Simplify right side
    1,140.62x = 840,775.92
  5. Step 5: Solve for x
    x = 840,775.92/1,140.62
  6. Step 6: Final answer
    x = 737.12

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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.