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Finding the Fourth Proportional to 904.30, 1,355.39 and 801.79

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Solution

The fourth proportional to 904.30, 1,355.39 and 801.79 is: 1,201.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.30 : 1,355.39 = 801.79 : x
  2. Step 2: Convert to fraction form
    904.30/1,355.39 = 801.79/x
  3. Step 3: Cross multiply
    904.30x = 1,355.39 × 801.79
  4. Step 4: Simplify right side
    904.30x = 1,086,738.27
  5. Step 5: Solve for x
    x = 1,086,738.27/904.30
  6. Step 6: Final answer
    x = 1,201.74

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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.