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Finding the Fourth Proportional to 566.97, 780.94 and 400.88

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Solution

The fourth proportional to 566.97, 780.94 and 400.88 is: 552.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.97 : 780.94 = 400.88 : x
  2. Step 2: Convert to fraction form
    566.97/780.94 = 400.88/x
  3. Step 3: Cross multiply
    566.97x = 780.94 × 400.88
  4. Step 4: Simplify right side
    566.97x = 313,065.68
  5. Step 5: Solve for x
    x = 313,065.68/566.97
  6. Step 6: Final answer
    x = 552.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.