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Finding the Fourth Proportional to 1,099.53, 1,525.12 and 1,060.13

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Solution

The fourth proportional to 1,099.53, 1,525.12 and 1,060.13 is: 1,470.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.53 : 1,525.12 = 1,060.13 : x
  2. Step 2: Convert to fraction form
    1,099.53/1,525.12 = 1,060.13/x
  3. Step 3: Cross multiply
    1,099.53x = 1,525.12 × 1,060.13
  4. Step 4: Simplify right side
    1,099.53x = 1,616,825.47
  5. Step 5: Solve for x
    x = 1,616,825.47/1,099.53
  6. Step 6: Final answer
    x = 1,470.47

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.