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Finding the Fourth Proportional to 617.79, 926.82 and 288.49

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Solution

The fourth proportional to 617.79, 926.82 and 288.49 is: 432.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.79 : 926.82 = 288.49 : x
  2. Step 2: Convert to fraction form
    617.79/926.82 = 288.49/x
  3. Step 3: Cross multiply
    617.79x = 926.82 × 288.49
  4. Step 4: Simplify right side
    617.79x = 267,378.30
  5. Step 5: Solve for x
    x = 267,378.30/617.79
  6. Step 6: Final answer
    x = 432.80

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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.