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Finding the Fourth Proportional to 667.88, 1,007.39 and 587.72

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Solution

The fourth proportional to 667.88, 1,007.39 and 587.72 is: 886.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.88 : 1,007.39 = 587.72 : x
  2. Step 2: Convert to fraction form
    667.88/1,007.39 = 587.72/x
  3. Step 3: Cross multiply
    667.88x = 1,007.39 × 587.72
  4. Step 4: Simplify right side
    667.88x = 592,063.25
  5. Step 5: Solve for x
    x = 592,063.25/667.88
  6. Step 6: Final answer
    x = 886.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.