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Finding the Fourth Proportional to 448.74, 677.12 and 431.87

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Solution

The fourth proportional to 448.74, 677.12 and 431.87 is: 651.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.74 : 677.12 = 431.87 : x
  2. Step 2: Convert to fraction form
    448.74/677.12 = 431.87/x
  3. Step 3: Cross multiply
    448.74x = 677.12 × 431.87
  4. Step 4: Simplify right side
    448.74x = 292,422.27
  5. Step 5: Solve for x
    x = 292,422.27/448.74
  6. Step 6: Final answer
    x = 651.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.