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Finding the Fourth Proportional to 547.52, 824.96 and 488.57

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Solution

The fourth proportional to 547.52, 824.96 and 488.57 is: 736.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.52 : 824.96 = 488.57 : x
  2. Step 2: Convert to fraction form
    547.52/824.96 = 488.57/x
  3. Step 3: Cross multiply
    547.52x = 824.96 × 488.57
  4. Step 4: Simplify right side
    547.52x = 403,047.80
  5. Step 5: Solve for x
    x = 403,047.80/547.52
  6. Step 6: Final answer
    x = 736.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.