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Finding the Fourth Proportional to 1,292.47, 1,938.51 and 415.08

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Solution

The fourth proportional to 1,292.47, 1,938.51 and 415.08 is: 622.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.47 : 1,938.51 = 415.08 : x
  2. Step 2: Convert to fraction form
    1,292.47/1,938.51 = 415.08/x
  3. Step 3: Cross multiply
    1,292.47x = 1,938.51 × 415.08
  4. Step 4: Simplify right side
    1,292.47x = 804,636.73
  5. Step 5: Solve for x
    x = 804,636.73/1,292.47
  6. Step 6: Final answer
    x = 622.56

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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.