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Finding the Fourth Proportional to 822.34, 1,135.44 and 527.77

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Solution

The fourth proportional to 822.34, 1,135.44 and 527.77 is: 728.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.34 : 1,135.44 = 527.77 : x
  2. Step 2: Convert to fraction form
    822.34/1,135.44 = 527.77/x
  3. Step 3: Cross multiply
    822.34x = 1,135.44 × 527.77
  4. Step 4: Simplify right side
    822.34x = 599,242.85
  5. Step 5: Solve for x
    x = 599,242.85/822.34
  6. Step 6: Final answer
    x = 728.71

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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.