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Finding the Fourth Proportional to 617.38, 925.58 and 309.08

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Solution

The fourth proportional to 617.38, 925.58 and 309.08 is: 463.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.38 : 925.58 = 309.08 : x
  2. Step 2: Convert to fraction form
    617.38/925.58 = 309.08/x
  3. Step 3: Cross multiply
    617.38x = 925.58 × 309.08
  4. Step 4: Simplify right side
    617.38x = 286,072.09
  5. Step 5: Solve for x
    x = 286,072.09/617.38
  6. Step 6: Final answer
    x = 463.37

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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.