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Finding the Fourth Proportional to 756.18, 1,042.47 and 638.64

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Solution

The fourth proportional to 756.18, 1,042.47 and 638.64 is: 880.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.18 : 1,042.47 = 638.64 : x
  2. Step 2: Convert to fraction form
    756.18/1,042.47 = 638.64/x
  3. Step 3: Cross multiply
    756.18x = 1,042.47 × 638.64
  4. Step 4: Simplify right side
    756.18x = 665,763.04
  5. Step 5: Solve for x
    x = 665,763.04/756.18
  6. Step 6: Final answer
    x = 880.43

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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.