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Finding the Fourth Proportional to 827.13, 1,140.15 and 561.05

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Solution

The fourth proportional to 827.13, 1,140.15 and 561.05 is: 773.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.13 : 1,140.15 = 561.05 : x
  2. Step 2: Convert to fraction form
    827.13/1,140.15 = 561.05/x
  3. Step 3: Cross multiply
    827.13x = 1,140.15 × 561.05
  4. Step 4: Simplify right side
    827.13x = 639,675.46
  5. Step 5: Solve for x
    x = 639,675.46/827.13
  6. Step 6: Final answer
    x = 773.37

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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.