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Finding the Fourth Proportional to 632.77, 949.47 and 308.13

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Solution

The fourth proportional to 632.77, 949.47 and 308.13 is: 462.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.77 : 949.47 = 308.13 : x
  2. Step 2: Convert to fraction form
    632.77/949.47 = 308.13/x
  3. Step 3: Cross multiply
    632.77x = 949.47 × 308.13
  4. Step 4: Simplify right side
    632.77x = 292,560.19
  5. Step 5: Solve for x
    x = 292,560.19/632.77
  6. Step 6: Final answer
    x = 462.35

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