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Finding the Fourth Proportional to 701.78, 1,052.66 and 428.40

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Solution

The fourth proportional to 701.78, 1,052.66 and 428.40 is: 642.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.78 : 1,052.66 = 428.40 : x
  2. Step 2: Convert to fraction form
    701.78/1,052.66 = 428.40/x
  3. Step 3: Cross multiply
    701.78x = 1,052.66 × 428.40
  4. Step 4: Simplify right side
    701.78x = 450,960.62
  5. Step 5: Solve for x
    x = 450,960.62/701.78
  6. Step 6: Final answer
    x = 642.60

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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.