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Finding the Fourth Proportional to 633.89, 874.40 and 381.74

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Solution

The fourth proportional to 633.89, 874.40 and 381.74 is: 526.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.89 : 874.40 = 381.74 : x
  2. Step 2: Convert to fraction form
    633.89/874.40 = 381.74/x
  3. Step 3: Cross multiply
    633.89x = 874.40 × 381.74
  4. Step 4: Simplify right side
    633.89x = 333,792.09
  5. Step 5: Solve for x
    x = 333,792.09/633.89
  6. Step 6: Final answer
    x = 526.58

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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.