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Finding the Fourth Proportional to 475.74, 712.94 and 448.47

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Solution

The fourth proportional to 475.74, 712.94 and 448.47 is: 672.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.74 : 712.94 = 448.47 : x
  2. Step 2: Convert to fraction form
    475.74/712.94 = 448.47/x
  3. Step 3: Cross multiply
    475.74x = 712.94 × 448.47
  4. Step 4: Simplify right side
    475.74x = 319,729.96
  5. Step 5: Solve for x
    x = 319,729.96/475.74
  6. Step 6: Final answer
    x = 672.07

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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.