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Finding the Fourth Proportional to 633.80, 874.94 and 424.40

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Solution

The fourth proportional to 633.80, 874.94 and 424.40 is: 585.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.80 : 874.94 = 424.40 : x
  2. Step 2: Convert to fraction form
    633.80/874.94 = 424.40/x
  3. Step 3: Cross multiply
    633.80x = 874.94 × 424.40
  4. Step 4: Simplify right side
    633.80x = 371,324.54
  5. Step 5: Solve for x
    x = 371,324.54/633.80
  6. Step 6: Final answer
    x = 585.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.