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Finding the Fourth Proportional to 672.01, 1,008.53 and 261.25

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Solution

The fourth proportional to 672.01, 1,008.53 and 261.25 is: 392.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.01 : 1,008.53 = 261.25 : x
  2. Step 2: Convert to fraction form
    672.01/1,008.53 = 261.25/x
  3. Step 3: Cross multiply
    672.01x = 1,008.53 × 261.25
  4. Step 4: Simplify right side
    672.01x = 263,478.46
  5. Step 5: Solve for x
    x = 263,478.46/672.01
  6. Step 6: Final answer
    x = 392.08

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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.