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Finding the Fourth Proportional to 564.47, 846.70 and 179.72

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Solution

The fourth proportional to 564.47, 846.70 and 179.72 is: 269.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.47 : 846.70 = 179.72 : x
  2. Step 2: Convert to fraction form
    564.47/846.70 = 179.72/x
  3. Step 3: Cross multiply
    564.47x = 846.70 × 179.72
  4. Step 4: Simplify right side
    564.47x = 152,168.43
  5. Step 5: Solve for x
    x = 152,168.43/564.47
  6. Step 6: Final answer
    x = 269.58

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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.