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Finding the Fourth Proportional to 461.52, 632.05 and 455.45

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Solution

The fourth proportional to 461.52, 632.05 and 455.45 is: 623.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.52 : 632.05 = 455.45 : x
  2. Step 2: Convert to fraction form
    461.52/632.05 = 455.45/x
  3. Step 3: Cross multiply
    461.52x = 632.05 × 455.45
  4. Step 4: Simplify right side
    461.52x = 287,862.87
  5. Step 5: Solve for x
    x = 287,862.87/461.52
  6. Step 6: Final answer
    x = 623.73

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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.