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Finding the Fourth Proportional to 843.24, 1,257.70 and 802.38

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Solution

The fourth proportional to 843.24, 1,257.70 and 802.38 is: 1,196.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.24 : 1,257.70 = 802.38 : x
  2. Step 2: Convert to fraction form
    843.24/1,257.70 = 802.38/x
  3. Step 3: Cross multiply
    843.24x = 1,257.70 × 802.38
  4. Step 4: Simplify right side
    843.24x = 1,009,151.32
  5. Step 5: Solve for x
    x = 1,009,151.32/843.24
  6. Step 6: Final answer
    x = 1,196.75

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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.