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Finding the Fourth Proportional to 412.97, 566.51 and 402.62

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Solution

The fourth proportional to 412.97, 566.51 and 402.62 is: 552.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.97 : 566.51 = 402.62 : x
  2. Step 2: Convert to fraction form
    412.97/566.51 = 402.62/x
  3. Step 3: Cross multiply
    412.97x = 566.51 × 402.62
  4. Step 4: Simplify right side
    412.97x = 228,083.41
  5. Step 5: Solve for x
    x = 228,083.41/412.97
  6. Step 6: Final answer
    x = 552.31

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.