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Finding the Fourth Proportional to 1,002.01, 1,503.69 and 515.38

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Solution

The fourth proportional to 1,002.01, 1,503.69 and 515.38 is: 773.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.01 : 1,503.69 = 515.38 : x
  2. Step 2: Convert to fraction form
    1,002.01/1,503.69 = 515.38/x
  3. Step 3: Cross multiply
    1,002.01x = 1,503.69 × 515.38
  4. Step 4: Simplify right side
    1,002.01x = 774,971.75
  5. Step 5: Solve for x
    x = 774,971.75/1,002.01
  6. Step 6: Final answer
    x = 773.42

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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.