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Finding the Fourth Proportional to 493.68, 677.40 and 474.24

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Solution

The fourth proportional to 493.68, 677.40 and 474.24 is: 650.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.68 : 677.40 = 474.24 : x
  2. Step 2: Convert to fraction form
    493.68/677.40 = 474.24/x
  3. Step 3: Cross multiply
    493.68x = 677.40 × 474.24
  4. Step 4: Simplify right side
    493.68x = 321,250.18
  5. Step 5: Solve for x
    x = 321,250.18/493.68
  6. Step 6: Final answer
    x = 650.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.