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Finding the Fourth Proportional to 449.24, 677.87 and 432.37

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Solution

The fourth proportional to 449.24, 677.87 and 432.37 is: 652.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.24 : 677.87 = 432.37 : x
  2. Step 2: Convert to fraction form
    449.24/677.87 = 432.37/x
  3. Step 3: Cross multiply
    449.24x = 677.87 × 432.37
  4. Step 4: Simplify right side
    449.24x = 293,087.26
  5. Step 5: Solve for x
    x = 293,087.26/449.24
  6. Step 6: Final answer
    x = 652.41

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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.