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Finding the Fourth Proportional to 702.93, 1,052.57 and 682.13

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Solution

The fourth proportional to 702.93, 1,052.57 and 682.13 is: 1,021.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.93 : 1,052.57 = 682.13 : x
  2. Step 2: Convert to fraction form
    702.93/1,052.57 = 682.13/x
  3. Step 3: Cross multiply
    702.93x = 1,052.57 × 682.13
  4. Step 4: Simplify right side
    702.93x = 717,989.57
  5. Step 5: Solve for x
    x = 717,989.57/702.93
  6. Step 6: Final answer
    x = 1,021.42

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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.