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Finding the Fourth Proportional to 556.82, 769.07 and 417.55

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Solution

The fourth proportional to 556.82, 769.07 and 417.55 is: 576.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.82 : 769.07 = 417.55 : x
  2. Step 2: Convert to fraction form
    556.82/769.07 = 417.55/x
  3. Step 3: Cross multiply
    556.82x = 769.07 × 417.55
  4. Step 4: Simplify right side
    556.82x = 321,124.30
  5. Step 5: Solve for x
    x = 321,124.30/556.82
  6. Step 6: Final answer
    x = 576.72

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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.