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Finding the Fourth Proportional to 1,001.87, 1,505.52 and 515.27

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Solution

The fourth proportional to 1,001.87, 1,505.52 and 515.27 is: 774.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.87 : 1,505.52 = 515.27 : x
  2. Step 2: Convert to fraction form
    1,001.87/1,505.52 = 515.27/x
  3. Step 3: Cross multiply
    1,001.87x = 1,505.52 × 515.27
  4. Step 4: Simplify right side
    1,001.87x = 775,741.76
  5. Step 5: Solve for x
    x = 775,741.76/1,001.87
  6. Step 6: Final answer
    x = 774.30

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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.