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Finding the Fourth Proportional to 632.85, 944.48 and 616.45

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Solution

The fourth proportional to 632.85, 944.48 and 616.45 is: 920.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.85 : 944.48 = 616.45 : x
  2. Step 2: Convert to fraction form
    632.85/944.48 = 616.45/x
  3. Step 3: Cross multiply
    632.85x = 944.48 × 616.45
  4. Step 4: Simplify right side
    632.85x = 582,224.70
  5. Step 5: Solve for x
    x = 582,224.70/632.85
  6. Step 6: Final answer
    x = 920.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.