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Finding the Fourth Proportional to 690.11, 1,034.45 and 515.55

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Solution

The fourth proportional to 690.11, 1,034.45 and 515.55 is: 772.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.11 : 1,034.45 = 515.55 : x
  2. Step 2: Convert to fraction form
    690.11/1,034.45 = 515.55/x
  3. Step 3: Cross multiply
    690.11x = 1,034.45 × 515.55
  4. Step 4: Simplify right side
    690.11x = 533,310.70
  5. Step 5: Solve for x
    x = 533,310.70/690.11
  6. Step 6: Final answer
    x = 772.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.