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Finding the Fourth Proportional to 1,647.78, 2,472.48 and 770.34

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Solution

The fourth proportional to 1,647.78, 2,472.48 and 770.34 is: 1,155.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.78 : 2,472.48 = 770.34 : x
  2. Step 2: Convert to fraction form
    1,647.78/2,472.48 = 770.34/x
  3. Step 3: Cross multiply
    1,647.78x = 2,472.48 × 770.34
  4. Step 4: Simplify right side
    1,647.78x = 1,904,652.56
  5. Step 5: Solve for x
    x = 1,904,652.56/1,647.78
  6. Step 6: Final answer
    x = 1,155.89

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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.