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Finding the Fourth Proportional to 706.46, 1,063.84 and 616.22

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Solution

The fourth proportional to 706.46, 1,063.84 and 616.22 is: 927.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.46 : 1,063.84 = 616.22 : x
  2. Step 2: Convert to fraction form
    706.46/1,063.84 = 616.22/x
  3. Step 3: Cross multiply
    706.46x = 1,063.84 × 616.22
  4. Step 4: Simplify right side
    706.46x = 655,559.48
  5. Step 5: Solve for x
    x = 655,559.48/706.46
  6. Step 6: Final answer
    x = 927.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.