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Finding the Fourth Proportional to 1,292.73, 1,938.93 and 415.17

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Solution

The fourth proportional to 1,292.73, 1,938.93 and 415.17 is: 622.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.73 : 1,938.93 = 415.17 : x
  2. Step 2: Convert to fraction form
    1,292.73/1,938.93 = 415.17/x
  3. Step 3: Cross multiply
    1,292.73x = 1,938.93 × 415.17
  4. Step 4: Simplify right side
    1,292.73x = 804,985.57
  5. Step 5: Solve for x
    x = 804,985.57/1,292.73
  6. Step 6: Final answer
    x = 622.70

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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.