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Finding the Fourth Proportional to 818.61, 1,129.65 and 464.53

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Solution

The fourth proportional to 818.61, 1,129.65 and 464.53 is: 641.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.61 : 1,129.65 = 464.53 : x
  2. Step 2: Convert to fraction form
    818.61/1,129.65 = 464.53/x
  3. Step 3: Cross multiply
    818.61x = 1,129.65 × 464.53
  4. Step 4: Simplify right side
    818.61x = 524,753.49
  5. Step 5: Solve for x
    x = 524,753.49/818.61
  6. Step 6: Final answer
    x = 641.03

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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.