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Finding the Fourth Proportional to 1,199.96, 1,655.28 and 702.44

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Solution

The fourth proportional to 1,199.96, 1,655.28 and 702.44 is: 968.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.96 : 1,655.28 = 702.44 : x
  2. Step 2: Convert to fraction form
    1,199.96/1,655.28 = 702.44/x
  3. Step 3: Cross multiply
    1,199.96x = 1,655.28 × 702.44
  4. Step 4: Simplify right side
    1,199.96x = 1,162,734.88
  5. Step 5: Solve for x
    x = 1,162,734.88/1,199.96
  6. Step 6: Final answer
    x = 968.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.