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Finding the Fourth Proportional to 701.40, 1,052.10 and 428.03

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Solution

The fourth proportional to 701.40, 1,052.10 and 428.03 is: 642.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.40 : 1,052.10 = 428.03 : x
  2. Step 2: Convert to fraction form
    701.40/1,052.10 = 428.03/x
  3. Step 3: Cross multiply
    701.40x = 1,052.10 × 428.03
  4. Step 4: Simplify right side
    701.40x = 450,325.10
  5. Step 5: Solve for x
    x = 450,325.10/701.40
  6. Step 6: Final answer
    x = 642.04

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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.