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Finding the Fourth Proportional to 702.57, 976.25 and 694.98

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Solution

The fourth proportional to 702.57, 976.25 and 694.98 is: 965.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.57 : 976.25 = 694.98 : x
  2. Step 2: Convert to fraction form
    702.57/976.25 = 694.98/x
  3. Step 3: Cross multiply
    702.57x = 976.25 × 694.98
  4. Step 4: Simplify right side
    702.57x = 678,475.96
  5. Step 5: Solve for x
    x = 678,475.96/702.57
  6. Step 6: Final answer
    x = 965.70

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.