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Finding the Fourth Proportional to 458.87, 632.83 and 410.27

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Solution

The fourth proportional to 458.87, 632.83 and 410.27 is: 565.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.87 : 632.83 = 410.27 : x
  2. Step 2: Convert to fraction form
    458.87/632.83 = 410.27/x
  3. Step 3: Cross multiply
    458.87x = 632.83 × 410.27
  4. Step 4: Simplify right side
    458.87x = 259,629.11
  5. Step 5: Solve for x
    x = 259,629.11/458.87
  6. Step 6: Final answer
    x = 565.80

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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.