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Finding the Fourth Proportional to 511.73, 705.54 and 432.90

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Solution

The fourth proportional to 511.73, 705.54 and 432.90 is: 596.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.73 : 705.54 = 432.90 : x
  2. Step 2: Convert to fraction form
    511.73/705.54 = 432.90/x
  3. Step 3: Cross multiply
    511.73x = 705.54 × 432.90
  4. Step 4: Simplify right side
    511.73x = 305,428.27
  5. Step 5: Solve for x
    x = 305,428.27/511.73
  6. Step 6: Final answer
    x = 596.86

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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.