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Finding the Fourth Proportional to 461.89, 689.39 and 387.37

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Solution

The fourth proportional to 461.89, 689.39 and 387.37 is: 578.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.89 : 689.39 = 387.37 : x
  2. Step 2: Convert to fraction form
    461.89/689.39 = 387.37/x
  3. Step 3: Cross multiply
    461.89x = 689.39 × 387.37
  4. Step 4: Simplify right side
    461.89x = 267,047.07
  5. Step 5: Solve for x
    x = 267,047.07/461.89
  6. Step 6: Final answer
    x = 578.16

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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.