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Finding the Fourth Proportional to 515.23, 772.85 and 298.69

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Solution

The fourth proportional to 515.23, 772.85 and 298.69 is: 448.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.23 : 772.85 = 298.69 : x
  2. Step 2: Convert to fraction form
    515.23/772.85 = 298.69/x
  3. Step 3: Cross multiply
    515.23x = 772.85 × 298.69
  4. Step 4: Simplify right side
    515.23x = 230,842.57
  5. Step 5: Solve for x
    x = 230,842.57/515.23
  6. Step 6: Final answer
    x = 448.04

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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.