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Finding the Fourth Proportional to 617.04, 921.49 and 549

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Solution

The fourth proportional to 617.04, 921.49 and 549 is: 819.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.04 : 921.49 = 549 : x
  2. Step 2: Convert to fraction form
    617.04/921.49 = 549/x
  3. Step 3: Cross multiply
    617.04x = 921.49 × 549
  4. Step 4: Simplify right side
    617.04x = 505,896.64
  5. Step 5: Solve for x
    x = 505,896.64/617.04
  6. Step 6: Final answer
    x = 819.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.