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Finding the Fourth Proportional to 617.38, 926.36 and 309.26

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Solution

The fourth proportional to 617.38, 926.36 and 309.26 is: 464.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.38 : 926.36 = 309.26 : x
  2. Step 2: Convert to fraction form
    617.38/926.36 = 309.26/x
  3. Step 3: Cross multiply
    617.38x = 926.36 × 309.26
  4. Step 4: Simplify right side
    617.38x = 286,488.02
  5. Step 5: Solve for x
    x = 286,488.02/617.38
  6. Step 6: Final answer
    x = 464.04

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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.