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Finding the Fourth Proportional to 632.95, 949.61 and 286.58

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Solution

The fourth proportional to 632.95, 949.61 and 286.58 is: 429.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.95 : 949.61 = 286.58 : x
  2. Step 2: Convert to fraction form
    632.95/949.61 = 286.58/x
  3. Step 3: Cross multiply
    632.95x = 949.61 × 286.58
  4. Step 4: Simplify right side
    632.95x = 272,137.80
  5. Step 5: Solve for x
    x = 272,137.80/632.95
  6. Step 6: Final answer
    x = 429.95

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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.