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Finding the Fourth Proportional to 818.56, 1,129.77 and 464.49

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Solution

The fourth proportional to 818.56, 1,129.77 and 464.49 is: 641.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.56 : 1,129.77 = 464.49 : x
  2. Step 2: Convert to fraction form
    818.56/1,129.77 = 464.49/x
  3. Step 3: Cross multiply
    818.56x = 1,129.77 × 464.49
  4. Step 4: Simplify right side
    818.56x = 524,761.22
  5. Step 5: Solve for x
    x = 524,761.22/818.56
  6. Step 6: Final answer
    x = 641.08

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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.