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Finding the Fourth Proportional to 818.40, 1,129.45 and 464.38

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Solution

The fourth proportional to 818.40, 1,129.45 and 464.38 is: 640.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.40 : 1,129.45 = 464.38 : x
  2. Step 2: Convert to fraction form
    818.40/1,129.45 = 464.38/x
  3. Step 3: Cross multiply
    818.40x = 1,129.45 × 464.38
  4. Step 4: Simplify right side
    818.40x = 524,499.03
  5. Step 5: Solve for x
    x = 524,499.03/818.40
  6. Step 6: Final answer
    x = 640.88

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1.5x scale

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.