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Finding the Fourth Proportional to 547.14, 815.91 and 488.13

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Solution

The fourth proportional to 547.14, 815.91 and 488.13 is: 727.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.14 : 815.91 = 488.13 : x
  2. Step 2: Convert to fraction form
    547.14/815.91 = 488.13/x
  3. Step 3: Cross multiply
    547.14x = 815.91 × 488.13
  4. Step 4: Simplify right side
    547.14x = 398,270.15
  5. Step 5: Solve for x
    x = 398,270.15/547.14
  6. Step 6: Final answer
    x = 727.91

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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.