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Finding the Fourth Proportional to 511.54, 705.78 and 387.16

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Solution

The fourth proportional to 511.54, 705.78 and 387.16 is: 534.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.54 : 705.78 = 387.16 : x
  2. Step 2: Convert to fraction form
    511.54/705.78 = 387.16/x
  3. Step 3: Cross multiply
    511.54x = 705.78 × 387.16
  4. Step 4: Simplify right side
    511.54x = 273,249.78
  5. Step 5: Solve for x
    x = 273,249.78/511.54
  6. Step 6: Final answer
    x = 534.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.