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Finding the Fourth Proportional to 1,349.46, 2,022.93 and 698.85

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Solution

The fourth proportional to 1,349.46, 2,022.93 and 698.85 is: 1,047.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.46 : 2,022.93 = 698.85 : x
  2. Step 2: Convert to fraction form
    1,349.46/2,022.93 = 698.85/x
  3. Step 3: Cross multiply
    1,349.46x = 2,022.93 × 698.85
  4. Step 4: Simplify right side
    1,349.46x = 1,413,724.63
  5. Step 5: Solve for x
    x = 1,413,724.63/1,349.46
  6. Step 6: Final answer
    x = 1,047.62

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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.