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Finding the Fourth Proportional to 769.15, 1,152.81 and 399.13

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Solution

The fourth proportional to 769.15, 1,152.81 and 399.13 is: 598.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.15 : 1,152.81 = 399.13 : x
  2. Step 2: Convert to fraction form
    769.15/1,152.81 = 399.13/x
  3. Step 3: Cross multiply
    769.15x = 1,152.81 × 399.13
  4. Step 4: Simplify right side
    769.15x = 460,121.06
  5. Step 5: Solve for x
    x = 460,121.06/769.15
  6. Step 6: Final answer
    x = 598.22

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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.