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Finding the Fourth Proportional to 920.62, 1,377.49 and 549.07

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Solution

The fourth proportional to 920.62, 1,377.49 and 549.07 is: 821.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.62 : 1,377.49 = 549.07 : x
  2. Step 2: Convert to fraction form
    920.62/1,377.49 = 549.07/x
  3. Step 3: Cross multiply
    920.62x = 1,377.49 × 549.07
  4. Step 4: Simplify right side
    920.62x = 756,338.43
  5. Step 5: Solve for x
    x = 756,338.43/920.62
  6. Step 6: Final answer
    x = 821.55

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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.