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Finding the Fourth Proportional to 830.24, 1,243.01 and 439.35

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Solution

The fourth proportional to 830.24, 1,243.01 and 439.35 is: 657.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.24 : 1,243.01 = 439.35 : x
  2. Step 2: Convert to fraction form
    830.24/1,243.01 = 439.35/x
  3. Step 3: Cross multiply
    830.24x = 1,243.01 × 439.35
  4. Step 4: Simplify right side
    830.24x = 546,116.44
  5. Step 5: Solve for x
    x = 546,116.44/830.24
  6. Step 6: Final answer
    x = 657.78

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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.