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Finding the Fourth Proportional to 1,002.11, 1,502.28 and 515.43

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Solution

The fourth proportional to 1,002.11, 1,502.28 and 515.43 is: 772.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.11 : 1,502.28 = 515.43 : x
  2. Step 2: Convert to fraction form
    1,002.11/1,502.28 = 515.43/x
  3. Step 3: Cross multiply
    1,002.11x = 1,502.28 × 515.43
  4. Step 4: Simplify right side
    1,002.11x = 774,320.18
  5. Step 5: Solve for x
    x = 774,320.18/1,002.11
  6. Step 6: Final answer
    x = 772.69

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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.