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Finding the Fourth Proportional to 938.98, 1,407.96 and 665.61

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Solution

The fourth proportional to 938.98, 1,407.96 and 665.61 is: 998.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.98 : 1,407.96 = 665.61 : x
  2. Step 2: Convert to fraction form
    938.98/1,407.96 = 665.61/x
  3. Step 3: Cross multiply
    938.98x = 1,407.96 × 665.61
  4. Step 4: Simplify right side
    938.98x = 937,152.26
  5. Step 5: Solve for x
    x = 937,152.26/938.98
  6. Step 6: Final answer
    x = 998.05

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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.