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Finding the Fourth Proportional to 827.45, 1,140.69 and 630.62

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Solution

The fourth proportional to 827.45, 1,140.69 and 630.62 is: 869.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.45 : 1,140.69 = 630.62 : x
  2. Step 2: Convert to fraction form
    827.45/1,140.69 = 630.62/x
  3. Step 3: Cross multiply
    827.45x = 1,140.69 × 630.62
  4. Step 4: Simplify right side
    827.45x = 719,344.78
  5. Step 5: Solve for x
    x = 719,344.78/827.45
  6. Step 6: Final answer
    x = 869.35

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Why These Related Problems?

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