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Finding the Fourth Proportional to 757.66, 1,042.10 and 609.96

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Solution

The fourth proportional to 757.66, 1,042.10 and 609.96 is: 838.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.66 : 1,042.10 = 609.96 : x
  2. Step 2: Convert to fraction form
    757.66/1,042.10 = 609.96/x
  3. Step 3: Cross multiply
    757.66x = 1,042.10 × 609.96
  4. Step 4: Simplify right side
    757.66x = 635,639.32
  5. Step 5: Solve for x
    x = 635,639.32/757.66
  6. Step 6: Final answer
    x = 838.95

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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.