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Finding the Fourth Proportional to 900.88, 1,350.56 and 820.64

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Solution

The fourth proportional to 900.88, 1,350.56 and 820.64 is: 1,230.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.88 : 1,350.56 = 820.64 : x
  2. Step 2: Convert to fraction form
    900.88/1,350.56 = 820.64/x
  3. Step 3: Cross multiply
    900.88x = 1,350.56 × 820.64
  4. Step 4: Simplify right side
    900.88x = 1,108,323.56
  5. Step 5: Solve for x
    x = 1,108,323.56/900.88
  6. Step 6: Final answer
    x = 1,230.27

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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.