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Finding the Fourth Proportional to 547.18, 816.19 and 488.86

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Solution

The fourth proportional to 547.18, 816.19 and 488.86 is: 729.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.18 : 816.19 = 488.86 : x
  2. Step 2: Convert to fraction form
    547.18/816.19 = 488.86/x
  3. Step 3: Cross multiply
    547.18x = 816.19 × 488.86
  4. Step 4: Simplify right side
    547.18x = 398,999.38
  5. Step 5: Solve for x
    x = 398,999.38/547.18
  6. Step 6: Final answer
    x = 729.20

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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.