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Finding the Fourth Proportional to 654.67, 902.66 and 468.07

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Solution

The fourth proportional to 654.67, 902.66 and 468.07 is: 645.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.67 : 902.66 = 468.07 : x
  2. Step 2: Convert to fraction form
    654.67/902.66 = 468.07/x
  3. Step 3: Cross multiply
    654.67x = 902.66 × 468.07
  4. Step 4: Simplify right side
    654.67x = 422,508.07
  5. Step 5: Solve for x
    x = 422,508.07/654.67
  6. Step 6: Final answer
    x = 645.38

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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.