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Finding the Fourth Proportional to 660.39, 911.64 and 471.48

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Solution

The fourth proportional to 660.39, 911.64 and 471.48 is: 650.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.39 : 911.64 = 471.48 : x
  2. Step 2: Convert to fraction form
    660.39/911.64 = 471.48/x
  3. Step 3: Cross multiply
    660.39x = 911.64 × 471.48
  4. Step 4: Simplify right side
    660.39x = 429,820.03
  5. Step 5: Solve for x
    x = 429,820.03/660.39
  6. Step 6: Final answer
    x = 650.86

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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.