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Finding the Fourth Proportional to 654.76, 902.11 and 421.48

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Solution

The fourth proportional to 654.76, 902.11 and 421.48 is: 580.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.76 : 902.11 = 421.48 : x
  2. Step 2: Convert to fraction form
    654.76/902.11 = 421.48/x
  3. Step 3: Cross multiply
    654.76x = 902.11 × 421.48
  4. Step 4: Simplify right side
    654.76x = 380,214.70
  5. Step 5: Solve for x
    x = 380,214.70/654.76
  6. Step 6: Final answer
    x = 580.70

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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.