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Finding the Fourth Proportional to 702.22, 1,049.18 and 677.98

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Solution

The fourth proportional to 702.22, 1,049.18 and 677.98 is: 1,012.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.22 : 1,049.18 = 677.98 : x
  2. Step 2: Convert to fraction form
    702.22/1,049.18 = 677.98/x
  3. Step 3: Cross multiply
    702.22x = 1,049.18 × 677.98
  4. Step 4: Simplify right side
    702.22x = 711,323.06
  5. Step 5: Solve for x
    x = 711,323.06/702.22
  6. Step 6: Final answer
    x = 1,012.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.