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Finding the Fourth Proportional to 1,502.25, 2,073.20 and 839.18

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Solution

The fourth proportional to 1,502.25, 2,073.20 and 839.18 is: 1,158.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.25 : 2,073.20 = 839.18 : x
  2. Step 2: Convert to fraction form
    1,502.25/2,073.20 = 839.18/x
  3. Step 3: Cross multiply
    1,502.25x = 2,073.20 × 839.18
  4. Step 4: Simplify right side
    1,502.25x = 1,739,773.41
  5. Step 5: Solve for x
    x = 1,739,773.41/1,502.25
  6. Step 6: Final answer
    x = 1,158.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.