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Finding the Fourth Proportional to 900.83, 1,351.26 and 515.81

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Solution

The fourth proportional to 900.83, 1,351.26 and 515.81 is: 773.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.83 : 1,351.26 = 515.81 : x
  2. Step 2: Convert to fraction form
    900.83/1,351.26 = 515.81/x
  3. Step 3: Cross multiply
    900.83x = 1,351.26 × 515.81
  4. Step 4: Simplify right side
    900.83x = 696,996.80
  5. Step 5: Solve for x
    x = 696,996.80/900.83
  6. Step 6: Final answer
    x = 773.73

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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.