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Finding the Fourth Proportional to 564.07, 846.18 and 212.79

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Solution

The fourth proportional to 564.07, 846.18 and 212.79 is: 319.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.07 : 846.18 = 212.79 : x
  2. Step 2: Convert to fraction form
    564.07/846.18 = 212.79/x
  3. Step 3: Cross multiply
    564.07x = 846.18 × 212.79
  4. Step 4: Simplify right side
    564.07x = 180,058.64
  5. Step 5: Solve for x
    x = 180,058.64/564.07
  6. Step 6: Final answer
    x = 319.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.