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Finding the Fourth Proportional to 818.08, 1,129.07 and 464.11

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Solution

The fourth proportional to 818.08, 1,129.07 and 464.11 is: 640.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.08 : 1,129.07 = 464.11 : x
  2. Step 2: Convert to fraction form
    818.08/1,129.07 = 464.11/x
  3. Step 3: Cross multiply
    818.08x = 1,129.07 × 464.11
  4. Step 4: Simplify right side
    818.08x = 524,011.02
  5. Step 5: Solve for x
    x = 524,011.02/818.08
  6. Step 6: Final answer
    x = 640.54

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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.