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Finding the Fourth Proportional to 818.45, 1,227.61 and 509.69

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Solution

The fourth proportional to 818.45, 1,227.61 and 509.69 is: 764.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.45 : 1,227.61 = 509.69 : x
  2. Step 2: Convert to fraction form
    818.45/1,227.61 = 509.69/x
  3. Step 3: Cross multiply
    818.45x = 1,227.61 × 509.69
  4. Step 4: Simplify right side
    818.45x = 625,701.38
  5. Step 5: Solve for x
    x = 625,701.38/818.45
  6. Step 6: Final answer
    x = 764.49

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Double scale
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Similar ratio
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1.5x scale

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.