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Finding the Fourth Proportional to 1,144.90, 1,718.07 and 451.45

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Solution

The fourth proportional to 1,144.90, 1,718.07 and 451.45 is: 677.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.90 : 1,718.07 = 451.45 : x
  2. Step 2: Convert to fraction form
    1,144.90/1,718.07 = 451.45/x
  3. Step 3: Cross multiply
    1,144.90x = 1,718.07 × 451.45
  4. Step 4: Simplify right side
    1,144.90x = 775,611.85
  5. Step 5: Solve for x
    x = 775,611.85/1,144.90
  6. Step 6: Final answer
    x = 677.45

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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.