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Finding the Fourth Proportional to 465.02, 636.84 and 458.95

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Solution

The fourth proportional to 465.02, 636.84 and 458.95 is: 628.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.02 : 636.84 = 458.95 : x
  2. Step 2: Convert to fraction form
    465.02/636.84 = 458.95/x
  3. Step 3: Cross multiply
    465.02x = 636.84 × 458.95
  4. Step 4: Simplify right side
    465.02x = 292,274.53
  5. Step 5: Solve for x
    x = 292,274.53/465.02
  6. Step 6: Final answer
    x = 628.52

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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.