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Finding the Fourth Proportional to 905.07, 1,355.83 and 513.87

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Solution

The fourth proportional to 905.07, 1,355.83 and 513.87 is: 769.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.07 : 1,355.83 = 513.87 : x
  2. Step 2: Convert to fraction form
    905.07/1,355.83 = 513.87/x
  3. Step 3: Cross multiply
    905.07x = 1,355.83 × 513.87
  4. Step 4: Simplify right side
    905.07x = 696,720.36
  5. Step 5: Solve for x
    x = 696,720.36/905.07
  6. Step 6: Final answer
    x = 769.80

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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.