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Finding the Fourth Proportional to 1,224.20, 1,687.86 and 830.54

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Solution

The fourth proportional to 1,224.20, 1,687.86 and 830.54 is: 1,145.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.20 : 1,687.86 = 830.54 : x
  2. Step 2: Convert to fraction form
    1,224.20/1,687.86 = 830.54/x
  3. Step 3: Cross multiply
    1,224.20x = 1,687.86 × 830.54
  4. Step 4: Simplify right side
    1,224.20x = 1,401,839.46
  5. Step 5: Solve for x
    x = 1,401,839.46/1,224.20
  6. Step 6: Final answer
    x = 1,145.10

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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.