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Finding the Fourth Proportional to 1,291.41, 1,780.92 and 819.45

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Solution

The fourth proportional to 1,291.41, 1,780.92 and 819.45 is: 1,130.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.41 : 1,780.92 = 819.45 : x
  2. Step 2: Convert to fraction form
    1,291.41/1,780.92 = 819.45/x
  3. Step 3: Cross multiply
    1,291.41x = 1,780.92 × 819.45
  4. Step 4: Simplify right side
    1,291.41x = 1,459,374.89
  5. Step 5: Solve for x
    x = 1,459,374.89/1,291.41
  6. Step 6: Final answer
    x = 1,130.06

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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.