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Finding the Fourth Proportional to 1,099.44, 1,517.00 and 707.13

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Solution

The fourth proportional to 1,099.44, 1,517.00 and 707.13 is: 975.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.44 : 1,517.00 = 707.13 : x
  2. Step 2: Convert to fraction form
    1,099.44/1,517.00 = 707.13/x
  3. Step 3: Cross multiply
    1,099.44x = 1,517.00 × 707.13
  4. Step 4: Simplify right side
    1,099.44x = 1,072,712.67
  5. Step 5: Solve for x
    x = 1,072,712.67/1,099.44
  6. Step 6: Final answer
    x = 975.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.