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Finding the Fourth Proportional to 1,338.04, 2,007.42 and 688.42

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Solution

The fourth proportional to 1,338.04, 2,007.42 and 688.42 is: 1,032.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.04 : 2,007.42 = 688.42 : x
  2. Step 2: Convert to fraction form
    1,338.04/2,007.42 = 688.42/x
  3. Step 3: Cross multiply
    1,338.04x = 2,007.42 × 688.42
  4. Step 4: Simplify right side
    1,338.04x = 1,381,948.08
  5. Step 5: Solve for x
    x = 1,381,948.08/1,338.04
  6. Step 6: Final answer
    x = 1,032.82

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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.