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Finding the Fourth Proportional to 468.03, 697.91 and 445.03

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Solution

The fourth proportional to 468.03, 697.91 and 445.03 is: 663.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.03 : 697.91 = 445.03 : x
  2. Step 2: Convert to fraction form
    468.03/697.91 = 445.03/x
  3. Step 3: Cross multiply
    468.03x = 697.91 × 445.03
  4. Step 4: Simplify right side
    468.03x = 310,594.42
  5. Step 5: Solve for x
    x = 310,594.42/468.03
  6. Step 6: Final answer
    x = 663.62

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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.