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Finding the Fourth Proportional to 756.46, 1,042.95 and 616.42

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Solution

The fourth proportional to 756.46, 1,042.95 and 616.42 is: 849.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.46 : 1,042.95 = 616.42 : x
  2. Step 2: Convert to fraction form
    756.46/1,042.95 = 616.42/x
  3. Step 3: Cross multiply
    756.46x = 1,042.95 × 616.42
  4. Step 4: Simplify right side
    756.46x = 642,895.24
  5. Step 5: Solve for x
    x = 642,895.24/756.46
  6. Step 6: Final answer
    x = 849.87

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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.