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Finding the Fourth Proportional to 702.12, 1,052.64 and 428.28

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Solution

The fourth proportional to 702.12, 1,052.64 and 428.28 is: 642.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.12 : 1,052.64 = 428.28 : x
  2. Step 2: Convert to fraction form
    702.12/1,052.64 = 428.28/x
  3. Step 3: Cross multiply
    702.12x = 1,052.64 × 428.28
  4. Step 4: Simplify right side
    702.12x = 450,824.66
  5. Step 5: Solve for x
    x = 450,824.66/702.12
  6. Step 6: Final answer
    x = 642.09

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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.