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Finding the Fourth Proportional to 1,972.79, 2,960.91 and 802.78

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Solution

The fourth proportional to 1,972.79, 2,960.91 and 802.78 is: 1,204.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.79 : 2,960.91 = 802.78 : x
  2. Step 2: Convert to fraction form
    1,972.79/2,960.91 = 802.78/x
  3. Step 3: Cross multiply
    1,972.79x = 2,960.91 × 802.78
  4. Step 4: Simplify right side
    1,972.79x = 2,376,965.57
  5. Step 5: Solve for x
    x = 2,376,965.57/1,972.79
  6. Step 6: Final answer
    x = 1,204.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.