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Finding the Fourth Proportional to 438.54, 660.90 and 411.18

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Solution

The fourth proportional to 438.54, 660.90 and 411.18 is: 619.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.54 : 660.90 = 411.18 : x
  2. Step 2: Convert to fraction form
    438.54/660.90 = 411.18/x
  3. Step 3: Cross multiply
    438.54x = 660.90 × 411.18
  4. Step 4: Simplify right side
    438.54x = 271,748.86
  5. Step 5: Solve for x
    x = 271,748.86/438.54
  6. Step 6: Final answer
    x = 619.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.