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Finding the Fourth Proportional to 632.53, 872.80 and 370.63

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Solution

The fourth proportional to 632.53, 872.80 and 370.63 is: 511.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.53 : 872.80 = 370.63 : x
  2. Step 2: Convert to fraction form
    632.53/872.80 = 370.63/x
  3. Step 3: Cross multiply
    632.53x = 872.80 × 370.63
  4. Step 4: Simplify right side
    632.53x = 323,485.86
  5. Step 5: Solve for x
    x = 323,485.86/632.53
  6. Step 6: Final answer
    x = 511.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.