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Finding the Fourth Proportional to 632.95, 873.45 and 467.11

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Solution

The fourth proportional to 632.95, 873.45 and 467.11 is: 644.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.95 : 873.45 = 467.11 : x
  2. Step 2: Convert to fraction form
    632.95/873.45 = 467.11/x
  3. Step 3: Cross multiply
    632.95x = 873.45 × 467.11
  4. Step 4: Simplify right side
    632.95x = 407,990.53
  5. Step 5: Solve for x
    x = 407,990.53/632.95
  6. Step 6: Final answer
    x = 644.59

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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.