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Finding the Fourth Proportional to 654.55, 902.20 and 405.32

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Solution

The fourth proportional to 654.55, 902.20 and 405.32 is: 558.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.55 : 902.20 = 405.32 : x
  2. Step 2: Convert to fraction form
    654.55/902.20 = 405.32/x
  3. Step 3: Cross multiply
    654.55x = 902.20 × 405.32
  4. Step 4: Simplify right side
    654.55x = 365,679.70
  5. Step 5: Solve for x
    x = 365,679.70/654.55
  6. Step 6: Final answer
    x = 558.67

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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.