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Finding the Fourth Proportional to 904.74, 1,355.03 and 749.62

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Solution

The fourth proportional to 904.74, 1,355.03 and 749.62 is: 1,122.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.74 : 1,355.03 = 749.62 : x
  2. Step 2: Convert to fraction form
    904.74/1,355.03 = 749.62/x
  3. Step 3: Cross multiply
    904.74x = 1,355.03 × 749.62
  4. Step 4: Simplify right side
    904.74x = 1,015,757.59
  5. Step 5: Solve for x
    x = 1,015,757.59/904.74
  6. Step 6: Final answer
    x = 1,122.71

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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.