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Finding the Fourth Proportional to 813.78, 1,218.72 and 466.05

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Solution

The fourth proportional to 813.78, 1,218.72 and 466.05 is: 697.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.78 : 1,218.72 = 466.05 : x
  2. Step 2: Convert to fraction form
    813.78/1,218.72 = 466.05/x
  3. Step 3: Cross multiply
    813.78x = 1,218.72 × 466.05
  4. Step 4: Simplify right side
    813.78x = 567,984.46
  5. Step 5: Solve for x
    x = 567,984.46/813.78
  6. Step 6: Final answer
    x = 697.96

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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.