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Finding the Fourth Proportional to 459.92, 634.57 and 452.99

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Solution

The fourth proportional to 459.92, 634.57 and 452.99 is: 625.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.92 : 634.57 = 452.99 : x
  2. Step 2: Convert to fraction form
    459.92/634.57 = 452.99/x
  3. Step 3: Cross multiply
    459.92x = 634.57 × 452.99
  4. Step 4: Simplify right side
    459.92x = 287,453.86
  5. Step 5: Solve for x
    x = 287,453.86/459.92
  6. Step 6: Final answer
    x = 625.01

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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.