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Finding the Fourth Proportional to 1,764.98, 2,645.76 and 840.29

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Solution

The fourth proportional to 1,764.98, 2,645.76 and 840.29 is: 1,259.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.98 : 2,645.76 = 840.29 : x
  2. Step 2: Convert to fraction form
    1,764.98/2,645.76 = 840.29/x
  3. Step 3: Cross multiply
    1,764.98x = 2,645.76 × 840.29
  4. Step 4: Simplify right side
    1,764.98x = 2,223,205.67
  5. Step 5: Solve for x
    x = 2,223,205.67/1,764.98
  6. Step 6: Final answer
    x = 1,259.62

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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.