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Finding the Fourth Proportional to 634.25, 948.66 and 458.95

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Solution

The fourth proportional to 634.25, 948.66 and 458.95 is: 686.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.25 : 948.66 = 458.95 : x
  2. Step 2: Convert to fraction form
    634.25/948.66 = 458.95/x
  3. Step 3: Cross multiply
    634.25x = 948.66 × 458.95
  4. Step 4: Simplify right side
    634.25x = 435,387.51
  5. Step 5: Solve for x
    x = 435,387.51/634.25
  6. Step 6: Final answer
    x = 686.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.