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Finding the Fourth Proportional to 1,502.25, 2,077.43 and 1,433.49

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Solution

The fourth proportional to 1,502.25, 2,077.43 and 1,433.49 is: 1,982.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.25 : 2,077.43 = 1,433.49 : x
  2. Step 2: Convert to fraction form
    1,502.25/2,077.43 = 1,433.49/x
  3. Step 3: Cross multiply
    1,502.25x = 2,077.43 × 1,433.49
  4. Step 4: Simplify right side
    1,502.25x = 2,977,967.96
  5. Step 5: Solve for x
    x = 2,977,967.96/1,502.25
  6. Step 6: Final answer
    x = 1,982.34

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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.