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Finding the Fourth Proportional to 650.84, 974.93 and 528.53

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Solution

The fourth proportional to 650.84, 974.93 and 528.53 is: 791.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.84 : 974.93 = 528.53 : x
  2. Step 2: Convert to fraction form
    650.84/974.93 = 528.53/x
  3. Step 3: Cross multiply
    650.84x = 974.93 × 528.53
  4. Step 4: Simplify right side
    650.84x = 515,272.24
  5. Step 5: Solve for x
    x = 515,272.24/650.84
  6. Step 6: Final answer
    x = 791.71

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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.