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Finding the Fourth Proportional to 1,066.50, 1,600.38 and 450.17

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Solution

The fourth proportional to 1,066.50, 1,600.38 and 450.17 is: 675.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.50 : 1,600.38 = 450.17 : x
  2. Step 2: Convert to fraction form
    1,066.50/1,600.38 = 450.17/x
  3. Step 3: Cross multiply
    1,066.50x = 1,600.38 × 450.17
  4. Step 4: Simplify right side
    1,066.50x = 720,435.06
  5. Step 5: Solve for x
    x = 720,435.06/1,066.50
  6. Step 6: Final answer
    x = 675.51

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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.