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Finding the Fourth Proportional to 932.32, 1,286.29 and 666.80

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Solution

The fourth proportional to 932.32, 1,286.29 and 666.80 is: 919.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.32 : 1,286.29 = 666.80 : x
  2. Step 2: Convert to fraction form
    932.32/1,286.29 = 666.80/x
  3. Step 3: Cross multiply
    932.32x = 1,286.29 × 666.80
  4. Step 4: Simplify right side
    932.32x = 857,698.17
  5. Step 5: Solve for x
    x = 857,698.17/932.32
  6. Step 6: Final answer
    x = 919.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.