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Finding the Fourth Proportional to 651.28, 974.88 and 406.72

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Solution

The fourth proportional to 651.28, 974.88 and 406.72 is: 608.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.28 : 974.88 = 406.72 : x
  2. Step 2: Convert to fraction form
    651.28/974.88 = 406.72/x
  3. Step 3: Cross multiply
    651.28x = 974.88 × 406.72
  4. Step 4: Simplify right side
    651.28x = 396,503.19
  5. Step 5: Solve for x
    x = 396,503.19/651.28
  6. Step 6: Final answer
    x = 608.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.