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Finding the Fourth Proportional to 468.84, 642.84 and 459.12

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Solution

The fourth proportional to 468.84, 642.84 and 459.12 is: 629.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.84 : 642.84 = 459.12 : x
  2. Step 2: Convert to fraction form
    468.84/642.84 = 459.12/x
  3. Step 3: Cross multiply
    468.84x = 642.84 × 459.12
  4. Step 4: Simplify right side
    468.84x = 295,140.70
  5. Step 5: Solve for x
    x = 295,140.70/468.84
  6. Step 6: Final answer
    x = 629.51

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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.