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Finding the Fourth Proportional to 931.80, 1,285.82 and 512.18

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Solution

The fourth proportional to 931.80, 1,285.82 and 512.18 is: 706.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.80 : 1,285.82 = 512.18 : x
  2. Step 2: Convert to fraction form
    931.80/1,285.82 = 512.18/x
  3. Step 3: Cross multiply
    931.80x = 1,285.82 × 512.18
  4. Step 4: Simplify right side
    931.80x = 658,575.78
  5. Step 5: Solve for x
    x = 658,575.78/931.80
  6. Step 6: Final answer
    x = 706.78

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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.