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Finding the Fourth Proportional to 627.24, 865.95 and 417.71

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Solution

The fourth proportional to 627.24, 865.95 and 417.71 is: 576.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.24 : 865.95 = 417.71 : x
  2. Step 2: Convert to fraction form
    627.24/865.95 = 417.71/x
  3. Step 3: Cross multiply
    627.24x = 865.95 × 417.71
  4. Step 4: Simplify right side
    627.24x = 361,709.56
  5. Step 5: Solve for x
    x = 361,709.56/627.24
  6. Step 6: Final answer
    x = 576.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.