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Finding the Fourth Proportional to 1,709.70, 2,562.70 and 830.34

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Solution

The fourth proportional to 1,709.70, 2,562.70 and 830.34 is: 1,244.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.70 : 2,562.70 = 830.34 : x
  2. Step 2: Convert to fraction form
    1,709.70/2,562.70 = 830.34/x
  3. Step 3: Cross multiply
    1,709.70x = 2,562.70 × 830.34
  4. Step 4: Simplify right side
    1,709.70x = 2,127,912.32
  5. Step 5: Solve for x
    x = 2,127,912.32/1,709.70
  6. Step 6: Final answer
    x = 1,244.61

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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.