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Finding the Fourth Proportional to 561.54, 845.27 and 432.25

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Solution

The fourth proportional to 561.54, 845.27 and 432.25 is: 650.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.54 : 845.27 = 432.25 : x
  2. Step 2: Convert to fraction form
    561.54/845.27 = 432.25/x
  3. Step 3: Cross multiply
    561.54x = 845.27 × 432.25
  4. Step 4: Simplify right side
    561.54x = 365,367.96
  5. Step 5: Solve for x
    x = 365,367.96/561.54
  6. Step 6: Final answer
    x = 650.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.