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Finding the Fourth Proportional to 1,099.78, 1,517.84 and 707.94

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Solution

The fourth proportional to 1,099.78, 1,517.84 and 707.94 is: 977.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.78 : 1,517.84 = 707.94 : x
  2. Step 2: Convert to fraction form
    1,099.78/1,517.84 = 707.94/x
  3. Step 3: Cross multiply
    1,099.78x = 1,517.84 × 707.94
  4. Step 4: Simplify right side
    1,099.78x = 1,074,538.76
  5. Step 5: Solve for x
    x = 1,074,538.76/1,099.78
  6. Step 6: Final answer
    x = 977.05

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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.