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Finding the Fourth Proportional to 1,002.96, 1,502.25 and 827.66

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Solution

The fourth proportional to 1,002.96, 1,502.25 and 827.66 is: 1,239.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.96 : 1,502.25 = 827.66 : x
  2. Step 2: Convert to fraction form
    1,002.96/1,502.25 = 827.66/x
  3. Step 3: Cross multiply
    1,002.96x = 1,502.25 × 827.66
  4. Step 4: Simplify right side
    1,002.96x = 1,243,344.72
  5. Step 5: Solve for x
    x = 1,243,344.72/1,002.96
  6. Step 6: Final answer
    x = 1,239.68

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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.