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Finding the Fourth Proportional to 773.01, 1,158.08 and 443.57

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Solution

The fourth proportional to 773.01, 1,158.08 and 443.57 is: 664.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.01 : 1,158.08 = 443.57 : x
  2. Step 2: Convert to fraction form
    773.01/1,158.08 = 443.57/x
  3. Step 3: Cross multiply
    773.01x = 1,158.08 × 443.57
  4. Step 4: Simplify right side
    773.01x = 513,681.54
  5. Step 5: Solve for x
    x = 513,681.54/773.01
  6. Step 6: Final answer
    x = 664.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.