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Finding the Fourth Proportional to 538.12, 811.87 and 511.12

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Solution

The fourth proportional to 538.12, 811.87 and 511.12 is: 771.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.12 : 811.87 = 511.12 : x
  2. Step 2: Convert to fraction form
    538.12/811.87 = 511.12/x
  3. Step 3: Cross multiply
    538.12x = 811.87 × 511.12
  4. Step 4: Simplify right side
    538.12x = 414,962.99
  5. Step 5: Solve for x
    x = 414,962.99/538.12
  6. Step 6: Final answer
    x = 771.13

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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.