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Finding the Fourth Proportional to 1,001.89, 1,502.84 and 515.08

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Solution

The fourth proportional to 1,001.89, 1,502.84 and 515.08 is: 772.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.89 : 1,502.84 = 515.08 : x
  2. Step 2: Convert to fraction form
    1,001.89/1,502.84 = 515.08/x
  3. Step 3: Cross multiply
    1,001.89x = 1,502.84 × 515.08
  4. Step 4: Simplify right side
    1,001.89x = 774,082.83
  5. Step 5: Solve for x
    x = 774,082.83/1,001.89
  6. Step 6: Final answer
    x = 772.62

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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.