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Finding the Fourth Proportional to 461.32, 632.49 and 453.12

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Solution

The fourth proportional to 461.32, 632.49 and 453.12 is: 621.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.32 : 632.49 = 453.12 : x
  2. Step 2: Convert to fraction form
    461.32/632.49 = 453.12/x
  3. Step 3: Cross multiply
    461.32x = 632.49 × 453.12
  4. Step 4: Simplify right side
    461.32x = 286,593.87
  5. Step 5: Solve for x
    x = 286,593.87/461.32
  6. Step 6: Final answer
    x = 621.25

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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.