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Finding the Fourth Proportional to 664.72, 1,001.08 and 588.64

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Solution

The fourth proportional to 664.72, 1,001.08 and 588.64 is: 886.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.72 : 1,001.08 = 588.64 : x
  2. Step 2: Convert to fraction form
    664.72/1,001.08 = 588.64/x
  3. Step 3: Cross multiply
    664.72x = 1,001.08 × 588.64
  4. Step 4: Simplify right side
    664.72x = 589,275.73
  5. Step 5: Solve for x
    x = 589,275.73/664.72
  6. Step 6: Final answer
    x = 886.50

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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.