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Finding the Fourth Proportional to 706.74, 1,060.62 and 268.38

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Solution

The fourth proportional to 706.74, 1,060.62 and 268.38 is: 402.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.74 : 1,060.62 = 268.38 : x
  2. Step 2: Convert to fraction form
    706.74/1,060.62 = 268.38/x
  3. Step 3: Cross multiply
    706.74x = 1,060.62 × 268.38
  4. Step 4: Simplify right side
    706.74x = 284,649.20
  5. Step 5: Solve for x
    x = 284,649.20/706.74
  6. Step 6: Final answer
    x = 402.76

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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.