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Finding the Fourth Proportional to 493.74, 739.18 and 287.68

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Solution

The fourth proportional to 493.74, 739.18 and 287.68 is: 430.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.74 : 739.18 = 287.68 : x
  2. Step 2: Convert to fraction form
    493.74/739.18 = 287.68/x
  3. Step 3: Cross multiply
    493.74x = 739.18 × 287.68
  4. Step 4: Simplify right side
    493.74x = 212,647.30
  5. Step 5: Solve for x
    x = 212,647.30/493.74
  6. Step 6: Final answer
    x = 430.69

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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.