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Finding the Fourth Proportional to 617.44, 925.92 and 309.12

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Solution

The fourth proportional to 617.44, 925.92 and 309.12 is: 463.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.44 : 925.92 = 309.12 : x
  2. Step 2: Convert to fraction form
    617.44/925.92 = 309.12/x
  3. Step 3: Cross multiply
    617.44x = 925.92 × 309.12
  4. Step 4: Simplify right side
    617.44x = 286,220.39
  5. Step 5: Solve for x
    x = 286,220.39/617.44
  6. Step 6: Final answer
    x = 463.56

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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.