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Finding the Fourth Proportional to 407.36, 564.38 and 398.72

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Solution

The fourth proportional to 407.36, 564.38 and 398.72 is: 552.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.36 : 564.38 = 398.72 : x
  2. Step 2: Convert to fraction form
    407.36/564.38 = 398.72/x
  3. Step 3: Cross multiply
    407.36x = 564.38 × 398.72
  4. Step 4: Simplify right side
    407.36x = 225,029.59
  5. Step 5: Solve for x
    x = 225,029.59/407.36
  6. Step 6: Final answer
    x = 552.41

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.