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Finding the Fourth Proportional to 632.51, 872.87 and 446.33

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Solution

The fourth proportional to 632.51, 872.87 and 446.33 is: 615.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.51 : 872.87 = 446.33 : x
  2. Step 2: Convert to fraction form
    632.51/872.87 = 446.33/x
  3. Step 3: Cross multiply
    632.51x = 872.87 × 446.33
  4. Step 4: Simplify right side
    632.51x = 389,585.12
  5. Step 5: Solve for x
    x = 389,585.12/632.51
  6. Step 6: Final answer
    x = 615.93

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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.