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Finding the Fourth Proportional to 650.46, 974.71 and 528.96

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Solution

The fourth proportional to 650.46, 974.71 and 528.96 is: 792.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.46 : 974.71 = 528.96 : x
  2. Step 2: Convert to fraction form
    650.46/974.71 = 528.96/x
  3. Step 3: Cross multiply
    650.46x = 974.71 × 528.96
  4. Step 4: Simplify right side
    650.46x = 515,582.60
  5. Step 5: Solve for x
    x = 515,582.60/650.46
  6. Step 6: Final answer
    x = 792.64

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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.