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Finding the Fourth Proportional to 1,705.68, 2,552.76 and 1,409.76

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Solution

The fourth proportional to 1,705.68, 2,552.76 and 1,409.76 is: 2,109.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.68 : 2,552.76 = 1,409.76 : x
  2. Step 2: Convert to fraction form
    1,705.68/2,552.76 = 1,409.76/x
  3. Step 3: Cross multiply
    1,705.68x = 2,552.76 × 1,409.76
  4. Step 4: Simplify right side
    1,705.68x = 3,598,778.94
  5. Step 5: Solve for x
    x = 3,598,778.94/1,705.68
  6. Step 6: Final answer
    x = 2,109.88

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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.