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Finding the Fourth Proportional to 461.52, 639.93 and 446.10

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Solution

The fourth proportional to 461.52, 639.93 and 446.10 is: 618.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.52 : 639.93 = 446.10 : x
  2. Step 2: Convert to fraction form
    461.52/639.93 = 446.10/x
  3. Step 3: Cross multiply
    461.52x = 639.93 × 446.10
  4. Step 4: Simplify right side
    461.52x = 285,472.77
  5. Step 5: Solve for x
    x = 285,472.77/461.52
  6. Step 6: Final answer
    x = 618.55

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.