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Finding the Fourth Proportional to 697.27, 1,049.99 and 515.95

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Solution

The fourth proportional to 697.27, 1,049.99 and 515.95 is: 776.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.27 : 1,049.99 = 515.95 : x
  2. Step 2: Convert to fraction form
    697.27/1,049.99 = 515.95/x
  3. Step 3: Cross multiply
    697.27x = 1,049.99 × 515.95
  4. Step 4: Simplify right side
    697.27x = 541,742.34
  5. Step 5: Solve for x
    x = 541,742.34/697.27
  6. Step 6: Final answer
    x = 776.95

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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.