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Finding the Fourth Proportional to 459.87, 630.56 and 446.21

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Solution

The fourth proportional to 459.87, 630.56 and 446.21 is: 611.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.87 : 630.56 = 446.21 : x
  2. Step 2: Convert to fraction form
    459.87/630.56 = 446.21/x
  3. Step 3: Cross multiply
    459.87x = 630.56 × 446.21
  4. Step 4: Simplify right side
    459.87x = 281,359.02
  5. Step 5: Solve for x
    x = 281,359.02/459.87
  6. Step 6: Final answer
    x = 611.82

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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.