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Finding the Fourth Proportional to 1,297.12, 1,944.42 and 566.56

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Solution

The fourth proportional to 1,297.12, 1,944.42 and 566.56 is: 849.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.12 : 1,944.42 = 566.56 : x
  2. Step 2: Convert to fraction form
    1,297.12/1,944.42 = 566.56/x
  3. Step 3: Cross multiply
    1,297.12x = 1,944.42 × 566.56
  4. Step 4: Simplify right side
    1,297.12x = 1,101,630.60
  5. Step 5: Solve for x
    x = 1,101,630.60/1,297.12
  6. Step 6: Final answer
    x = 849.29

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1.5x scale

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.