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Finding the Fourth Proportional to 702.12, 1,052.51 and 504.30

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Solution

The fourth proportional to 702.12, 1,052.51 and 504.30 is: 755.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.12 : 1,052.51 = 504.30 : x
  2. Step 2: Convert to fraction form
    702.12/1,052.51 = 504.30/x
  3. Step 3: Cross multiply
    702.12x = 1,052.51 × 504.30
  4. Step 4: Simplify right side
    702.12x = 530,778.27
  5. Step 5: Solve for x
    x = 530,778.27/702.12
  6. Step 6: Final answer
    x = 755.97

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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.