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Finding the Fourth Proportional to 417.90, 576.78 and 399.45

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Solution

The fourth proportional to 417.90, 576.78 and 399.45 is: 551.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.90 : 576.78 = 399.45 : x
  2. Step 2: Convert to fraction form
    417.90/576.78 = 399.45/x
  3. Step 3: Cross multiply
    417.90x = 576.78 × 399.45
  4. Step 4: Simplify right side
    417.90x = 230,394.77
  5. Step 5: Solve for x
    x = 230,394.77/417.90
  6. Step 6: Final answer
    x = 551.32

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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.