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Finding the Fourth Proportional to 417.66, 627.50 and 410.82

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Solution

The fourth proportional to 417.66, 627.50 and 410.82 is: 617.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.66 : 627.50 = 410.82 : x
  2. Step 2: Convert to fraction form
    417.66/627.50 = 410.82/x
  3. Step 3: Cross multiply
    417.66x = 627.50 × 410.82
  4. Step 4: Simplify right side
    417.66x = 257,789.44
  5. Step 5: Solve for x
    x = 257,789.44/417.66
  6. Step 6: Final answer
    x = 617.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.