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Finding the Fourth Proportional to 701.78, 1,051.50 and 427.04

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Solution

The fourth proportional to 701.78, 1,051.50 and 427.04 is: 639.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.78 : 1,051.50 = 427.04 : x
  2. Step 2: Convert to fraction form
    701.78/1,051.50 = 427.04/x
  3. Step 3: Cross multiply
    701.78x = 1,051.50 × 427.04
  4. Step 4: Simplify right side
    701.78x = 449,029.93
  5. Step 5: Solve for x
    x = 449,029.93/701.78
  6. Step 6: Final answer
    x = 639.85

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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.