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Finding the Fourth Proportional to 677.76, 1,012.71 and 539.34

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Solution

The fourth proportional to 677.76, 1,012.71 and 539.34 is: 805.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.76 : 1,012.71 = 539.34 : x
  2. Step 2: Convert to fraction form
    677.76/1,012.71 = 539.34/x
  3. Step 3: Cross multiply
    677.76x = 1,012.71 × 539.34
  4. Step 4: Simplify right side
    677.76x = 546,195.01
  5. Step 5: Solve for x
    x = 546,195.01/677.76
  6. Step 6: Final answer
    x = 805.88

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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.