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Finding the Fourth Proportional to 1,292.88, 1,784.43 and 769.08

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Solution

The fourth proportional to 1,292.88, 1,784.43 and 769.08 is: 1,061.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.88 : 1,784.43 = 769.08 : x
  2. Step 2: Convert to fraction form
    1,292.88/1,784.43 = 769.08/x
  3. Step 3: Cross multiply
    1,292.88x = 1,784.43 × 769.08
  4. Step 4: Simplify right side
    1,292.88x = 1,372,369.42
  5. Step 5: Solve for x
    x = 1,372,369.42/1,292.88
  6. Step 6: Final answer
    x = 1,061.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.