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Finding the Fourth Proportional to 822.92, 1,135.98 and 543.29

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Solution

The fourth proportional to 822.92, 1,135.98 and 543.29 is: 749.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.92 : 1,135.98 = 543.29 : x
  2. Step 2: Convert to fraction form
    822.92/1,135.98 = 543.29/x
  3. Step 3: Cross multiply
    822.92x = 1,135.98 × 543.29
  4. Step 4: Simplify right side
    822.92x = 617,160.89
  5. Step 5: Solve for x
    x = 617,160.89/822.92
  6. Step 6: Final answer
    x = 749.97

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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.