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Finding the Fourth Proportional to 820.13, 1,131.77 and 525.39

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Solution

The fourth proportional to 820.13, 1,131.77 and 525.39 is: 725.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.13 : 1,131.77 = 525.39 : x
  2. Step 2: Convert to fraction form
    820.13/1,131.77 = 525.39/x
  3. Step 3: Cross multiply
    820.13x = 1,131.77 × 525.39
  4. Step 4: Simplify right side
    820.13x = 594,624.87
  5. Step 5: Solve for x
    x = 594,624.87/820.13
  6. Step 6: Final answer
    x = 725.04

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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.