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Finding the Fourth Proportional to 617.16, 926.27 and 320.87

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Solution

The fourth proportional to 617.16, 926.27 and 320.87 is: 481.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.16 : 926.27 = 320.87 : x
  2. Step 2: Convert to fraction form
    617.16/926.27 = 320.87/x
  3. Step 3: Cross multiply
    617.16x = 926.27 × 320.87
  4. Step 4: Simplify right side
    617.16x = 297,206.02
  5. Step 5: Solve for x
    x = 297,206.02/617.16
  6. Step 6: Final answer
    x = 481.57

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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.