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Finding the Fourth Proportional to 1,515, 2,272.25 and 419.07

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Solution

The fourth proportional to 1,515, 2,272.25 and 419.07 is: 628.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515 : 2,272.25 = 419.07 : x
  2. Step 2: Convert to fraction form
    1,515/2,272.25 = 419.07/x
  3. Step 3: Cross multiply
    1,515x = 2,272.25 × 419.07
  4. Step 4: Simplify right side
    1,515x = 952,229.71
  5. Step 5: Solve for x
    x = 952,229.71/1,515
  6. Step 6: Final answer
    x = 628.53

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Double scale
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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.