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Finding the Fourth Proportional to 1,342.08, 2,013.78 and 649.34

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Solution

The fourth proportional to 1,342.08, 2,013.78 and 649.34 is: 974.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.08 : 2,013.78 = 649.34 : x
  2. Step 2: Convert to fraction form
    1,342.08/2,013.78 = 649.34/x
  3. Step 3: Cross multiply
    1,342.08x = 2,013.78 × 649.34
  4. Step 4: Simplify right side
    1,342.08x = 1,307,627.91
  5. Step 5: Solve for x
    x = 1,307,627.91/1,342.08
  6. Step 6: Final answer
    x = 974.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.