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Finding the Fourth Proportional to 900.21, 1,342.49 and 800.66

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Solution

The fourth proportional to 900.21, 1,342.49 and 800.66 is: 1,194.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.21 : 1,342.49 = 800.66 : x
  2. Step 2: Convert to fraction form
    900.21/1,342.49 = 800.66/x
  3. Step 3: Cross multiply
    900.21x = 1,342.49 × 800.66
  4. Step 4: Simplify right side
    900.21x = 1,074,874.04
  5. Step 5: Solve for x
    x = 1,074,874.04/900.21
  6. Step 6: Final answer
    x = 1,194.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.