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Finding the Fourth Proportional to 474.56, 657.43 and 463.22

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Solution

The fourth proportional to 474.56, 657.43 and 463.22 is: 641.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.56 : 657.43 = 463.22 : x
  2. Step 2: Convert to fraction form
    474.56/657.43 = 463.22/x
  3. Step 3: Cross multiply
    474.56x = 657.43 × 463.22
  4. Step 4: Simplify right side
    474.56x = 304,534.72
  5. Step 5: Solve for x
    x = 304,534.72/474.56
  6. Step 6: Final answer
    x = 641.72

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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.