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Finding the Fourth Proportional to 820.42, 1,131.64 and 526.05

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Solution

The fourth proportional to 820.42, 1,131.64 and 526.05 is: 725.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.42 : 1,131.64 = 526.05 : x
  2. Step 2: Convert to fraction form
    820.42/1,131.64 = 526.05/x
  3. Step 3: Cross multiply
    820.42x = 1,131.64 × 526.05
  4. Step 4: Simplify right side
    820.42x = 595,297.91
  5. Step 5: Solve for x
    x = 595,297.91/820.42
  6. Step 6: Final answer
    x = 725.60

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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.