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Finding the Fourth Proportional to 632, 948.06 and 559.55

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Solution

The fourth proportional to 632, 948.06 and 559.55 is: 839.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    632 : 948.06 = 559.55 : x
  2. Step 2: Convert to fraction form
    632/948.06 = 559.55/x
  3. Step 3: Cross multiply
    632x = 948.06 × 559.55
  4. Step 4: Simplify right side
    632x = 530,486.97
  5. Step 5: Solve for x
    x = 530,486.97/632
  6. Step 6: Final answer
    x = 839.38

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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.