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Finding the Fourth Proportional to 931.48, 1,397.69 and 659.32

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Solution

The fourth proportional to 931.48, 1,397.69 and 659.32 is: 989.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.48 : 1,397.69 = 659.32 : x
  2. Step 2: Convert to fraction form
    931.48/1,397.69 = 659.32/x
  3. Step 3: Cross multiply
    931.48x = 1,397.69 × 659.32
  4. Step 4: Simplify right side
    931.48x = 921,524.97
  5. Step 5: Solve for x
    x = 921,524.97/931.48
  6. Step 6: Final answer
    x = 989.31

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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.