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Finding the Fourth Proportional to 1,066.88, 1,600 and 297.28

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Solution

The fourth proportional to 1,066.88, 1,600 and 297.28 is: 445.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.88 : 1,600 = 297.28 : x
  2. Step 2: Convert to fraction form
    1,066.88/1,600 = 297.28/x
  3. Step 3: Cross multiply
    1,066.88x = 1,600 × 297.28
  4. Step 4: Simplify right side
    1,066.88x = 475,648.00
  5. Step 5: Solve for x
    x = 475,648.00/1,066.88
  6. Step 6: Final answer
    x = 445.83

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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.