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Finding the Fourth Proportional to 468.87, 646.78 and 406.59

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Solution

The fourth proportional to 468.87, 646.78 and 406.59 is: 560.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.87 : 646.78 = 406.59 : x
  2. Step 2: Convert to fraction form
    468.87/646.78 = 406.59/x
  3. Step 3: Cross multiply
    468.87x = 646.78 × 406.59
  4. Step 4: Simplify right side
    468.87x = 262,974.28
  5. Step 5: Solve for x
    x = 262,974.28/468.87
  6. Step 6: Final answer
    x = 560.87

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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.