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Finding the Fourth Proportional to 667.56, 1,001.56 and 342.66

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Solution

The fourth proportional to 667.56, 1,001.56 and 342.66 is: 514.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.56 : 1,001.56 = 342.66 : x
  2. Step 2: Convert to fraction form
    667.56/1,001.56 = 342.66/x
  3. Step 3: Cross multiply
    667.56x = 1,001.56 × 342.66
  4. Step 4: Simplify right side
    667.56x = 343,194.55
  5. Step 5: Solve for x
    x = 343,194.55/667.56
  6. Step 6: Final answer
    x = 514.10

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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.