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Finding the Fourth Proportional to 468.38, 699.08 and 414.32

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Solution

The fourth proportional to 468.38, 699.08 and 414.32 is: 618.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.38 : 699.08 = 414.32 : x
  2. Step 2: Convert to fraction form
    468.38/699.08 = 414.32/x
  3. Step 3: Cross multiply
    468.38x = 699.08 × 414.32
  4. Step 4: Simplify right side
    468.38x = 289,639.59
  5. Step 5: Solve for x
    x = 289,639.59/468.38
  6. Step 6: Final answer
    x = 618.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.