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Finding the Fourth Proportional to 617.85, 926.91 and 309.69

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Solution

The fourth proportional to 617.85, 926.91 and 309.69 is: 464.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.85 : 926.91 = 309.69 : x
  2. Step 2: Convert to fraction form
    617.85/926.91 = 309.69/x
  3. Step 3: Cross multiply
    617.85x = 926.91 × 309.69
  4. Step 4: Simplify right side
    617.85x = 287,054.76
  5. Step 5: Solve for x
    x = 287,054.76/617.85
  6. Step 6: Final answer
    x = 464.60

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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.