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Finding the Fourth Proportional to 667.90, 1,001.85 and 438.25

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Solution

The fourth proportional to 667.90, 1,001.85 and 438.25 is: 657.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.90 : 1,001.85 = 438.25 : x
  2. Step 2: Convert to fraction form
    667.90/1,001.85 = 438.25/x
  3. Step 3: Cross multiply
    667.90x = 1,001.85 × 438.25
  4. Step 4: Simplify right side
    667.90x = 439,055.75
  5. Step 5: Solve for x
    x = 439,055.75/667.90
  6. Step 6: Final answer
    x = 657.37

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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.