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Finding the Fourth Proportional to 1,502.25, 2,252.43 and 577.86

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Solution

The fourth proportional to 1,502.25, 2,252.43 and 577.86 is: 866.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.25 : 2,252.43 = 577.86 : x
  2. Step 2: Convert to fraction form
    1,502.25/2,252.43 = 577.86/x
  3. Step 3: Cross multiply
    1,502.25x = 2,252.43 × 577.86
  4. Step 4: Simplify right side
    1,502.25x = 1,301,589.20
  5. Step 5: Solve for x
    x = 1,301,589.20/1,502.25
  6. Step 6: Final answer
    x = 866.43

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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.