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Finding the Fourth Proportional to 511.20, 705.92 and 432.45

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Solution

The fourth proportional to 511.20, 705.92 and 432.45 is: 597.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.20 : 705.92 = 432.45 : x
  2. Step 2: Convert to fraction form
    511.20/705.92 = 432.45/x
  3. Step 3: Cross multiply
    511.20x = 705.92 × 432.45
  4. Step 4: Simplify right side
    511.20x = 305,272.94
  5. Step 5: Solve for x
    x = 305,272.94/511.20
  6. Step 6: Final answer
    x = 597.17

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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.