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Finding the Fourth Proportional to 1,039.60, 1,560.17 and 491.92

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Solution

The fourth proportional to 1,039.60, 1,560.17 and 491.92 is: 738.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.60 : 1,560.17 = 491.92 : x
  2. Step 2: Convert to fraction form
    1,039.60/1,560.17 = 491.92/x
  3. Step 3: Cross multiply
    1,039.60x = 1,560.17 × 491.92
  4. Step 4: Simplify right side
    1,039.60x = 767,478.83
  5. Step 5: Solve for x
    x = 767,478.83/1,039.60
  6. Step 6: Final answer
    x = 738.24

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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.