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Finding the Fourth Proportional to 666.90, 1,001.07 and 342.18

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Solution

The fourth proportional to 666.90, 1,001.07 and 342.18 is: 513.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.90 : 1,001.07 = 342.18 : x
  2. Step 2: Convert to fraction form
    666.90/1,001.07 = 342.18/x
  3. Step 3: Cross multiply
    666.90x = 1,001.07 × 342.18
  4. Step 4: Simplify right side
    666.90x = 342,546.13
  5. Step 5: Solve for x
    x = 342,546.13/666.90
  6. Step 6: Final answer
    x = 513.64

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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.