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Finding the Fourth Proportional to 667.64, 1,001.45 and 302.17

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Solution

The fourth proportional to 667.64, 1,001.45 and 302.17 is: 453.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.64 : 1,001.45 = 302.17 : x
  2. Step 2: Convert to fraction form
    667.64/1,001.45 = 302.17/x
  3. Step 3: Cross multiply
    667.64x = 1,001.45 × 302.17
  4. Step 4: Simplify right side
    667.64x = 302,608.15
  5. Step 5: Solve for x
    x = 302,608.15/667.64
  6. Step 6: Final answer
    x = 453.25

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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.