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Finding the Fourth Proportional to 468.34, 697.08 and 455.38

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Solution

The fourth proportional to 468.34, 697.08 and 455.38 is: 677.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.34 : 697.08 = 455.38 : x
  2. Step 2: Convert to fraction form
    468.34/697.08 = 455.38/x
  3. Step 3: Cross multiply
    468.34x = 697.08 × 455.38
  4. Step 4: Simplify right side
    468.34x = 317,436.29
  5. Step 5: Solve for x
    x = 317,436.29/468.34
  6. Step 6: Final answer
    x = 677.79

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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.