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Finding the Fourth Proportional to 1,099.34, 1,516.90 and 657.28

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Solution

The fourth proportional to 1,099.34, 1,516.90 and 657.28 is: 906.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.34 : 1,516.90 = 657.28 : x
  2. Step 2: Convert to fraction form
    1,099.34/1,516.90 = 657.28/x
  3. Step 3: Cross multiply
    1,099.34x = 1,516.90 × 657.28
  4. Step 4: Simplify right side
    1,099.34x = 997,028.03
  5. Step 5: Solve for x
    x = 997,028.03/1,099.34
  6. Step 6: Final answer
    x = 906.93

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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.