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Finding the Fourth Proportional to 702.25, 1,052 and 516.81

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Solution

The fourth proportional to 702.25, 1,052 and 516.81 is: 774.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.25 : 1,052 = 516.81 : x
  2. Step 2: Convert to fraction form
    702.25/1,052 = 516.81/x
  3. Step 3: Cross multiply
    702.25x = 1,052 × 516.81
  4. Step 4: Simplify right side
    702.25x = 543,684.12
  5. Step 5: Solve for x
    x = 543,684.12/702.25
  6. Step 6: Final answer
    x = 774.20

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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.