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Finding the Fourth Proportional to 617.60, 925.71 and 309.71

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Solution

The fourth proportional to 617.60, 925.71 and 309.71 is: 464.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.60 : 925.71 = 309.71 : x
  2. Step 2: Convert to fraction form
    617.60/925.71 = 309.71/x
  3. Step 3: Cross multiply
    617.60x = 925.71 × 309.71
  4. Step 4: Simplify right side
    617.60x = 286,701.64
  5. Step 5: Solve for x
    x = 286,701.64/617.60
  6. Step 6: Final answer
    x = 464.22

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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.