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Finding the Fourth Proportional to 632.90, 949.35 and 414.20

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Solution

The fourth proportional to 632.90, 949.35 and 414.20 is: 621.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.90 : 949.35 = 414.20 : x
  2. Step 2: Convert to fraction form
    632.90/949.35 = 414.20/x
  3. Step 3: Cross multiply
    632.90x = 949.35 × 414.20
  4. Step 4: Simplify right side
    632.90x = 393,220.77
  5. Step 5: Solve for x
    x = 393,220.77/632.90
  6. Step 6: Final answer
    x = 621.30

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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.