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Finding the Fourth Proportional to 564.09, 842.43 and 472.86

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Solution

The fourth proportional to 564.09, 842.43 and 472.86 is: 706.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.09 : 842.43 = 472.86 : x
  2. Step 2: Convert to fraction form
    564.09/842.43 = 472.86/x
  3. Step 3: Cross multiply
    564.09x = 842.43 × 472.86
  4. Step 4: Simplify right side
    564.09x = 398,351.45
  5. Step 5: Solve for x
    x = 398,351.45/564.09
  6. Step 6: Final answer
    x = 706.18

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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.