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Finding the Fourth Proportional to 806.40, 1,204.58 and 802.62

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Solution

The fourth proportional to 806.40, 1,204.58 and 802.62 is: 1,198.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.40 : 1,204.58 = 802.62 : x
  2. Step 2: Convert to fraction form
    806.40/1,204.58 = 802.62/x
  3. Step 3: Cross multiply
    806.40x = 1,204.58 × 802.62
  4. Step 4: Simplify right side
    806.40x = 966,822.01
  5. Step 5: Solve for x
    x = 966,822.01/806.40
  6. Step 6: Final answer
    x = 1,198.94

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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.