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Finding the Fourth Proportional to 631.59, 945.98 and 616.08

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Solution

The fourth proportional to 631.59, 945.98 and 616.08 is: 922.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.59 : 945.98 = 616.08 : x
  2. Step 2: Convert to fraction form
    631.59/945.98 = 616.08/x
  3. Step 3: Cross multiply
    631.59x = 945.98 × 616.08
  4. Step 4: Simplify right side
    631.59x = 582,799.36
  5. Step 5: Solve for x
    x = 582,799.36/631.59
  6. Step 6: Final answer
    x = 922.75

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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.