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Finding the Fourth Proportional to 556.71, 767.52 and 399.57

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Solution

The fourth proportional to 556.71, 767.52 and 399.57 is: 550.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.71 : 767.52 = 399.57 : x
  2. Step 2: Convert to fraction form
    556.71/767.52 = 399.57/x
  3. Step 3: Cross multiply
    556.71x = 767.52 × 399.57
  4. Step 4: Simplify right side
    556.71x = 306,677.97
  5. Step 5: Solve for x
    x = 306,677.97/556.71
  6. Step 6: Final answer
    x = 550.88

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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.