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Finding the Fourth Proportional to 938.15, 1,407.51 and 664.77

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Solution

The fourth proportional to 938.15, 1,407.51 and 664.77 is: 997.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.15 : 1,407.51 = 664.77 : x
  2. Step 2: Convert to fraction form
    938.15/1,407.51 = 664.77/x
  3. Step 3: Cross multiply
    938.15x = 1,407.51 × 664.77
  4. Step 4: Simplify right side
    938.15x = 935,670.42
  5. Step 5: Solve for x
    x = 935,670.42/938.15
  6. Step 6: Final answer
    x = 997.36

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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.