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Finding the Fourth Proportional to 617.87, 926.24 and 309.40

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Solution

The fourth proportional to 617.87, 926.24 and 309.40 is: 463.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.87 : 926.24 = 309.40 : x
  2. Step 2: Convert to fraction form
    617.87/926.24 = 309.40/x
  3. Step 3: Cross multiply
    617.87x = 926.24 × 309.40
  4. Step 4: Simplify right side
    617.87x = 286,577.11
  5. Step 5: Solve for x
    x = 286,577.11/617.87
  6. Step 6: Final answer
    x = 463.81

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Similar ratio
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1.5x scale

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.