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Finding the Fourth Proportional to 406.73, 565.05 and 402.94

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Solution

The fourth proportional to 406.73, 565.05 and 402.94 is: 559.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.73 : 565.05 = 402.94 : x
  2. Step 2: Convert to fraction form
    406.73/565.05 = 402.94/x
  3. Step 3: Cross multiply
    406.73x = 565.05 × 402.94
  4. Step 4: Simplify right side
    406.73x = 227,681.25
  5. Step 5: Solve for x
    x = 227,681.25/406.73
  6. Step 6: Final answer
    x = 559.78

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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.