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Finding the Fourth Proportional to 461.28, 689.01 and 388.38

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Solution

The fourth proportional to 461.28, 689.01 and 388.38 is: 580.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.28 : 689.01 = 388.38 : x
  2. Step 2: Convert to fraction form
    461.28/689.01 = 388.38/x
  3. Step 3: Cross multiply
    461.28x = 689.01 × 388.38
  4. Step 4: Simplify right side
    461.28x = 267,597.70
  5. Step 5: Solve for x
    x = 267,597.70/461.28
  6. Step 6: Final answer
    x = 580.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.