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Finding the Fourth Proportional to 1,281.89, 1,769.90 and 840.41

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Solution

The fourth proportional to 1,281.89, 1,769.90 and 840.41 is: 1,160.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.89 : 1,769.90 = 840.41 : x
  2. Step 2: Convert to fraction form
    1,281.89/1,769.90 = 840.41/x
  3. Step 3: Cross multiply
    1,281.89x = 1,769.90 × 840.41
  4. Step 4: Simplify right side
    1,281.89x = 1,487,441.66
  5. Step 5: Solve for x
    x = 1,487,441.66/1,281.89
  6. Step 6: Final answer
    x = 1,160.35

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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.