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Finding the Fourth Proportional to 493.80, 740.99 and 285.83

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Solution

The fourth proportional to 493.80, 740.99 and 285.83 is: 428.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.80 : 740.99 = 285.83 : x
  2. Step 2: Convert to fraction form
    493.80/740.99 = 285.83/x
  3. Step 3: Cross multiply
    493.80x = 740.99 × 285.83
  4. Step 4: Simplify right side
    493.80x = 211,797.17
  5. Step 5: Solve for x
    x = 211,797.17/493.80
  6. Step 6: Final answer
    x = 428.92

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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.