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Finding the Fourth Proportional to 693.11, 1,043.52 and 511.80

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Solution

The fourth proportional to 693.11, 1,043.52 and 511.80 is: 770.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.11 : 1,043.52 = 511.80 : x
  2. Step 2: Convert to fraction form
    693.11/1,043.52 = 511.80/x
  3. Step 3: Cross multiply
    693.11x = 1,043.52 × 511.80
  4. Step 4: Simplify right side
    693.11x = 534,073.54
  5. Step 5: Solve for x
    x = 534,073.54/693.11
  6. Step 6: Final answer
    x = 770.55

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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.