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Finding the Fourth Proportional to 538.97, 811.28 and 488.66

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Solution

The fourth proportional to 538.97, 811.28 and 488.66 is: 735.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.97 : 811.28 = 488.66 : x
  2. Step 2: Convert to fraction form
    538.97/811.28 = 488.66/x
  3. Step 3: Cross multiply
    538.97x = 811.28 × 488.66
  4. Step 4: Simplify right side
    538.97x = 396,440.08
  5. Step 5: Solve for x
    x = 396,440.08/538.97
  6. Step 6: Final answer
    x = 735.55

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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.