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Finding the Fourth Proportional to 461.77, 632.39 and 455.70

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Solution

The fourth proportional to 461.77, 632.39 and 455.70 is: 624.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.77 : 632.39 = 455.70 : x
  2. Step 2: Convert to fraction form
    461.77/632.39 = 455.70/x
  3. Step 3: Cross multiply
    461.77x = 632.39 × 455.70
  4. Step 4: Simplify right side
    461.77x = 288,176.96
  5. Step 5: Solve for x
    x = 288,176.96/461.77
  6. Step 6: Final answer
    x = 624.07

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.