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Finding the Fourth Proportional to 930.17, 1,282.82 and 664.10

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Solution

The fourth proportional to 930.17, 1,282.82 and 664.10 is: 915.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.17 : 1,282.82 = 664.10 : x
  2. Step 2: Convert to fraction form
    930.17/1,282.82 = 664.10/x
  3. Step 3: Cross multiply
    930.17x = 1,282.82 × 664.10
  4. Step 4: Simplify right side
    930.17x = 851,919.57
  5. Step 5: Solve for x
    x = 851,919.57/930.17
  6. Step 6: Final answer
    x = 915.88

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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.