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Finding the Fourth Proportional to 702.44, 1,052.38 and 412.52

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Solution

The fourth proportional to 702.44, 1,052.38 and 412.52 is: 618.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.44 : 1,052.38 = 412.52 : x
  2. Step 2: Convert to fraction form
    702.44/1,052.38 = 412.52/x
  3. Step 3: Cross multiply
    702.44x = 1,052.38 × 412.52
  4. Step 4: Simplify right side
    702.44x = 434,127.80
  5. Step 5: Solve for x
    x = 434,127.80/702.44
  6. Step 6: Final answer
    x = 618.03

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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.