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Finding the Fourth Proportional to 461.58, 632.82 and 453.42

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Solution

The fourth proportional to 461.58, 632.82 and 453.42 is: 621.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.58 : 632.82 = 453.42 : x
  2. Step 2: Convert to fraction form
    461.58/632.82 = 453.42/x
  3. Step 3: Cross multiply
    461.58x = 632.82 × 453.42
  4. Step 4: Simplify right side
    461.58x = 286,933.24
  5. Step 5: Solve for x
    x = 286,933.24/461.58
  6. Step 6: Final answer
    x = 621.63

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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.