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Finding the Fourth Proportional to 633.80, 873.78 and 424

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Solution

The fourth proportional to 633.80, 873.78 and 424 is: 584.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.80 : 873.78 = 424 : x
  2. Step 2: Convert to fraction form
    633.80/873.78 = 424/x
  3. Step 3: Cross multiply
    633.80x = 873.78 × 424
  4. Step 4: Simplify right side
    633.80x = 370,482.72
  5. Step 5: Solve for x
    x = 370,482.72/633.80
  6. Step 6: Final answer
    x = 584.54

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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.