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Finding the Fourth Proportional to 564.45, 844.40 and 488.23

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Solution

The fourth proportional to 564.45, 844.40 and 488.23 is: 730.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.45 : 844.40 = 488.23 : x
  2. Step 2: Convert to fraction form
    564.45/844.40 = 488.23/x
  3. Step 3: Cross multiply
    564.45x = 844.40 × 488.23
  4. Step 4: Simplify right side
    564.45x = 412,261.41
  5. Step 5: Solve for x
    x = 412,261.41/564.45
  6. Step 6: Final answer
    x = 730.38

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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.