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Finding the Fourth Proportional to 932.06, 1,398.07 and 786.75

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Solution

The fourth proportional to 932.06, 1,398.07 and 786.75 is: 1,180.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.06 : 1,398.07 = 786.75 : x
  2. Step 2: Convert to fraction form
    932.06/1,398.07 = 786.75/x
  3. Step 3: Cross multiply
    932.06x = 1,398.07 × 786.75
  4. Step 4: Simplify right side
    932.06x = 1,099,931.57
  5. Step 5: Solve for x
    x = 1,099,931.57/932.06
  6. Step 6: Final answer
    x = 1,180.11

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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.