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Finding the Fourth Proportional to 1,208.21, 1,665.38 and 814.55

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Solution

The fourth proportional to 1,208.21, 1,665.38 and 814.55 is: 1,122.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.21 : 1,665.38 = 814.55 : x
  2. Step 2: Convert to fraction form
    1,208.21/1,665.38 = 814.55/x
  3. Step 3: Cross multiply
    1,208.21x = 1,665.38 × 814.55
  4. Step 4: Simplify right side
    1,208.21x = 1,356,522.88
  5. Step 5: Solve for x
    x = 1,356,522.88/1,208.21
  6. Step 6: Final answer
    x = 1,122.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.