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Finding the Fourth Proportional to 1,098.68, 1,516.19 and 601.34

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Solution

The fourth proportional to 1,098.68, 1,516.19 and 601.34 is: 829.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.68 : 1,516.19 = 601.34 : x
  2. Step 2: Convert to fraction form
    1,098.68/1,516.19 = 601.34/x
  3. Step 3: Cross multiply
    1,098.68x = 1,516.19 × 601.34
  4. Step 4: Simplify right side
    1,098.68x = 911,735.11
  5. Step 5: Solve for x
    x = 911,735.11/1,098.68
  6. Step 6: Final answer
    x = 829.85

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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.