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Finding the Fourth Proportional to 667.50, 1,001.52 and 320.82

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Solution

The fourth proportional to 667.50, 1,001.52 and 320.82 is: 481.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.50 : 1,001.52 = 320.82 : x
  2. Step 2: Convert to fraction form
    667.50/1,001.52 = 320.82/x
  3. Step 3: Cross multiply
    667.50x = 1,001.52 × 320.82
  4. Step 4: Simplify right side
    667.50x = 321,307.65
  5. Step 5: Solve for x
    x = 321,307.65/667.50
  6. Step 6: Final answer
    x = 481.36

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1.5x scale

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.