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Finding the Fourth Proportional to 459.03, 632.61 and 327.81

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Solution

The fourth proportional to 459.03, 632.61 and 327.81 is: 451.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.03 : 632.61 = 327.81 : x
  2. Step 2: Convert to fraction form
    459.03/632.61 = 327.81/x
  3. Step 3: Cross multiply
    459.03x = 632.61 × 327.81
  4. Step 4: Simplify right side
    459.03x = 207,378.26
  5. Step 5: Solve for x
    x = 207,378.26/459.03
  6. Step 6: Final answer
    x = 451.77

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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.