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Finding the Fourth Proportional to 617.33, 926.82 and 534.92

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Solution

The fourth proportional to 617.33, 926.82 and 534.92 is: 803.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.33 : 926.82 = 534.92 : x
  2. Step 2: Convert to fraction form
    617.33/926.82 = 534.92/x
  3. Step 3: Cross multiply
    617.33x = 926.82 × 534.92
  4. Step 4: Simplify right side
    617.33x = 495,774.55
  5. Step 5: Solve for x
    x = 495,774.55/617.33
  6. Step 6: Final answer
    x = 803.09

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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.