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Finding the Fourth Proportional to 459.72, 633.71 and 361.31

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Solution

The fourth proportional to 459.72, 633.71 and 361.31 is: 498.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.72 : 633.71 = 361.31 : x
  2. Step 2: Convert to fraction form
    459.72/633.71 = 361.31/x
  3. Step 3: Cross multiply
    459.72x = 633.71 × 361.31
  4. Step 4: Simplify right side
    459.72x = 228,965.76
  5. Step 5: Solve for x
    x = 228,965.76/459.72
  6. Step 6: Final answer
    x = 498.05

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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.