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Finding the Fourth Proportional to 1,292.78, 1,783.36 and 819.86

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Solution

The fourth proportional to 1,292.78, 1,783.36 and 819.86 is: 1,130.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.78 : 1,783.36 = 819.86 : x
  2. Step 2: Convert to fraction form
    1,292.78/1,783.36 = 819.86/x
  3. Step 3: Cross multiply
    1,292.78x = 1,783.36 × 819.86
  4. Step 4: Simplify right side
    1,292.78x = 1,462,105.53
  5. Step 5: Solve for x
    x = 1,462,105.53/1,292.78
  6. Step 6: Final answer
    x = 1,130.98

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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.