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Finding the Fourth Proportional to 820.90, 1,131.99 and 525.64

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Solution

The fourth proportional to 820.90, 1,131.99 and 525.64 is: 724.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.90 : 1,131.99 = 525.64 : x
  2. Step 2: Convert to fraction form
    820.90/1,131.99 = 525.64/x
  3. Step 3: Cross multiply
    820.90x = 1,131.99 × 525.64
  4. Step 4: Simplify right side
    820.90x = 595,019.22
  5. Step 5: Solve for x
    x = 595,019.22/820.90
  6. Step 6: Final answer
    x = 724.84

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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.