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Finding the Fourth Proportional to 654.95, 902.64 and 468.45

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Solution

The fourth proportional to 654.95, 902.64 and 468.45 is: 645.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.95 : 902.64 = 468.45 : x
  2. Step 2: Convert to fraction form
    654.95/902.64 = 468.45/x
  3. Step 3: Cross multiply
    654.95x = 902.64 × 468.45
  4. Step 4: Simplify right side
    654.95x = 422,843.46
  5. Step 5: Solve for x
    x = 422,843.46/654.95
  6. Step 6: Final answer
    x = 645.61

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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.