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Finding the Fourth Proportional to 632, 952.88 and 505.28

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Solution

The fourth proportional to 632, 952.88 and 505.28 is: 761.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    632 : 952.88 = 505.28 : x
  2. Step 2: Convert to fraction form
    632/952.88 = 505.28/x
  3. Step 3: Cross multiply
    632x = 952.88 × 505.28
  4. Step 4: Simplify right side
    632x = 481,471.21
  5. Step 5: Solve for x
    x = 481,471.21/632
  6. Step 6: Final answer
    x = 761.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.