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Finding the Fourth Proportional to 459.56, 633.87 and 431.24

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Solution

The fourth proportional to 459.56, 633.87 and 431.24 is: 594.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.56 : 633.87 = 431.24 : x
  2. Step 2: Convert to fraction form
    459.56/633.87 = 431.24/x
  3. Step 3: Cross multiply
    459.56x = 633.87 × 431.24
  4. Step 4: Simplify right side
    459.56x = 273,350.10
  5. Step 5: Solve for x
    x = 273,350.10/459.56
  6. Step 6: Final answer
    x = 594.81

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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.