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Finding the Fourth Proportional to 628.48, 944.64 and 613.12

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Solution

The fourth proportional to 628.48, 944.64 and 613.12 is: 921.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.48 : 944.64 = 613.12 : x
  2. Step 2: Convert to fraction form
    628.48/944.64 = 613.12/x
  3. Step 3: Cross multiply
    628.48x = 944.64 × 613.12
  4. Step 4: Simplify right side
    628.48x = 579,177.68
  5. Step 5: Solve for x
    x = 579,177.68/628.48
  6. Step 6: Final answer
    x = 921.55

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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.