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Finding the Fourth Proportional to 556.34, 767.00 and 399.20

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Solution

The fourth proportional to 556.34, 767.00 and 399.20 is: 550.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.34 : 767.00 = 399.20 : x
  2. Step 2: Convert to fraction form
    556.34/767.00 = 399.20/x
  3. Step 3: Cross multiply
    556.34x = 767.00 × 399.20
  4. Step 4: Simplify right side
    556.34x = 306,180.57
  5. Step 5: Solve for x
    x = 306,180.57/556.34
  6. Step 6: Final answer
    x = 550.35

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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.