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Finding the Fourth Proportional to 789.85, 1,184.78 and 424.81

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Solution

The fourth proportional to 789.85, 1,184.78 and 424.81 is: 637.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.85 : 1,184.78 = 424.81 : x
  2. Step 2: Convert to fraction form
    789.85/1,184.78 = 424.81/x
  3. Step 3: Cross multiply
    789.85x = 1,184.78 × 424.81
  4. Step 4: Simplify right side
    789.85x = 503,306.39
  5. Step 5: Solve for x
    x = 503,306.39/789.85
  6. Step 6: Final answer
    x = 637.22

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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.