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Finding the Fourth Proportional to 406.34, 612.47 and 371.72

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Solution

The fourth proportional to 406.34, 612.47 and 371.72 is: 560.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.34 : 612.47 = 371.72 : x
  2. Step 2: Convert to fraction form
    406.34/612.47 = 371.72/x
  3. Step 3: Cross multiply
    406.34x = 612.47 × 371.72
  4. Step 4: Simplify right side
    406.34x = 227,665.22
  5. Step 5: Solve for x
    x = 227,665.22/406.34
  6. Step 6: Final answer
    x = 560.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.