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Finding the Fourth Proportional to 471.76, 655.53 and 466.70

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Solution

The fourth proportional to 471.76, 655.53 and 466.70 is: 648.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.76 : 655.53 = 466.70 : x
  2. Step 2: Convert to fraction form
    471.76/655.53 = 466.70/x
  3. Step 3: Cross multiply
    471.76x = 655.53 × 466.70
  4. Step 4: Simplify right side
    471.76x = 305,930.82
  5. Step 5: Solve for x
    x = 305,930.82/471.76
  6. Step 6: Final answer
    x = 648.49

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.