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Finding the Fourth Proportional to 802.95, 1,198.62 and 742.83

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Solution

The fourth proportional to 802.95, 1,198.62 and 742.83 is: 1,108.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.95 : 1,198.62 = 742.83 : x
  2. Step 2: Convert to fraction form
    802.95/1,198.62 = 742.83/x
  3. Step 3: Cross multiply
    802.95x = 1,198.62 × 742.83
  4. Step 4: Simplify right side
    802.95x = 890,370.89
  5. Step 5: Solve for x
    x = 890,370.89/802.95
  6. Step 6: Final answer
    x = 1,108.87

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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.