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Finding the Fourth Proportional to 459.66, 631.50 and 411.06

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Solution

The fourth proportional to 459.66, 631.50 and 411.06 is: 564.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.66 : 631.50 = 411.06 : x
  2. Step 2: Convert to fraction form
    459.66/631.50 = 411.06/x
  3. Step 3: Cross multiply
    459.66x = 631.50 × 411.06
  4. Step 4: Simplify right side
    459.66x = 259,584.39
  5. Step 5: Solve for x
    x = 259,584.39/459.66
  6. Step 6: Final answer
    x = 564.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.