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Finding the Fourth Proportional to 468.14, 697.64 and 454.05

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Solution

The fourth proportional to 468.14, 697.64 and 454.05 is: 676.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.14 : 697.64 = 454.05 : x
  2. Step 2: Convert to fraction form
    468.14/697.64 = 454.05/x
  3. Step 3: Cross multiply
    468.14x = 697.64 × 454.05
  4. Step 4: Simplify right side
    468.14x = 316,761.17
  5. Step 5: Solve for x
    x = 316,761.17/468.14
  6. Step 6: Final answer
    x = 676.64

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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.