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Finding the Fourth Proportional to 830.54, 1,243.17 and 464.22

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Solution

The fourth proportional to 830.54, 1,243.17 and 464.22 is: 694.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.54 : 1,243.17 = 464.22 : x
  2. Step 2: Convert to fraction form
    830.54/1,243.17 = 464.22/x
  3. Step 3: Cross multiply
    830.54x = 1,243.17 × 464.22
  4. Step 4: Simplify right side
    830.54x = 577,104.38
  5. Step 5: Solve for x
    x = 577,104.38/830.54
  6. Step 6: Final answer
    x = 694.86

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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.