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Finding the Fourth Proportional to 1,297.05, 1,945.20 and 566.46

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Solution

The fourth proportional to 1,297.05, 1,945.20 and 566.46 is: 849.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.05 : 1,945.20 = 566.46 : x
  2. Step 2: Convert to fraction form
    1,297.05/1,945.20 = 566.46/x
  3. Step 3: Cross multiply
    1,297.05x = 1,945.20 × 566.46
  4. Step 4: Simplify right side
    1,297.05x = 1,101,877.99
  5. Step 5: Solve for x
    x = 1,101,877.99/1,297.05
  6. Step 6: Final answer
    x = 849.53

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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.