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Finding the Fourth Proportional to 807.40, 1,204.88 and 802.96

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Solution

The fourth proportional to 807.40, 1,204.88 and 802.96 is: 1,198.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.40 : 1,204.88 = 802.96 : x
  2. Step 2: Convert to fraction form
    807.40/1,204.88 = 802.96/x
  3. Step 3: Cross multiply
    807.40x = 1,204.88 × 802.96
  4. Step 4: Simplify right side
    807.40x = 967,470.44
  5. Step 5: Solve for x
    x = 967,470.44/807.40
  6. Step 6: Final answer
    x = 1,198.25

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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.