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Finding the Fourth Proportional to 1,049.80, 1,572.31 and 502.37

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Solution

The fourth proportional to 1,049.80, 1,572.31 and 502.37 is: 752.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.80 : 1,572.31 = 502.37 : x
  2. Step 2: Convert to fraction form
    1,049.80/1,572.31 = 502.37/x
  3. Step 3: Cross multiply
    1,049.80x = 1,572.31 × 502.37
  4. Step 4: Simplify right side
    1,049.80x = 789,885.31
  5. Step 5: Solve for x
    x = 789,885.31/1,049.80
  6. Step 6: Final answer
    x = 752.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.