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Finding the Fourth Proportional to 632.20, 948.90 and 389.20

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Solution

The fourth proportional to 632.20, 948.90 and 389.20 is: 584.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.20 : 948.90 = 389.20 : x
  2. Step 2: Convert to fraction form
    632.20/948.90 = 389.20/x
  3. Step 3: Cross multiply
    632.20x = 948.90 × 389.20
  4. Step 4: Simplify right side
    632.20x = 369,311.88
  5. Step 5: Solve for x
    x = 369,311.88/632.20
  6. Step 6: Final answer
    x = 584.17

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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.