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Finding the Fourth Proportional to 1,513.73, 2,270.62 and 403.17

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Solution

The fourth proportional to 1,513.73, 2,270.62 and 403.17 is: 604.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.73 : 2,270.62 = 403.17 : x
  2. Step 2: Convert to fraction form
    1,513.73/2,270.62 = 403.17/x
  3. Step 3: Cross multiply
    1,513.73x = 2,270.62 × 403.17
  4. Step 4: Simplify right side
    1,513.73x = 915,450.63
  5. Step 5: Solve for x
    x = 915,450.63/1,513.73
  6. Step 6: Final answer
    x = 604.76

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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.