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Finding the Fourth Proportional to 538.93, 811.90 and 532.21

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Solution

The fourth proportional to 538.93, 811.90 and 532.21 is: 801.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.93 : 811.90 = 532.21 : x
  2. Step 2: Convert to fraction form
    538.93/811.90 = 532.21/x
  3. Step 3: Cross multiply
    538.93x = 811.90 × 532.21
  4. Step 4: Simplify right side
    538.93x = 432,101.30
  5. Step 5: Solve for x
    x = 432,101.30/538.93
  6. Step 6: Final answer
    x = 801.78

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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.