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Finding the Fourth Proportional to 666.70, 1,001.13 and 342.70

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Solution

The fourth proportional to 666.70, 1,001.13 and 342.70 is: 514.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.70 : 1,001.13 = 342.70 : x
  2. Step 2: Convert to fraction form
    666.70/1,001.13 = 342.70/x
  3. Step 3: Cross multiply
    666.70x = 1,001.13 × 342.70
  4. Step 4: Simplify right side
    666.70x = 343,087.25
  5. Step 5: Solve for x
    x = 343,087.25/666.70
  6. Step 6: Final answer
    x = 514.61

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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.