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Finding the Fourth Proportional to 513.84, 767.40 and 411.28

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Solution

The fourth proportional to 513.84, 767.40 and 411.28 is: 614.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.84 : 767.40 = 411.28 : x
  2. Step 2: Convert to fraction form
    513.84/767.40 = 411.28/x
  3. Step 3: Cross multiply
    513.84x = 767.40 × 411.28
  4. Step 4: Simplify right side
    513.84x = 315,616.27
  5. Step 5: Solve for x
    x = 315,616.27/513.84
  6. Step 6: Final answer
    x = 614.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.