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Finding the Fourth Proportional to 2,264.40, 3,396.64 and 802.80

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Solution

The fourth proportional to 2,264.40, 3,396.64 and 802.80 is: 1,204.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.40 : 3,396.64 = 802.80 : x
  2. Step 2: Convert to fraction form
    2,264.40/3,396.64 = 802.80/x
  3. Step 3: Cross multiply
    2,264.40x = 3,396.64 × 802.80
  4. Step 4: Simplify right side
    2,264.40x = 2,726,822.59
  5. Step 5: Solve for x
    x = 2,726,822.59/2,264.40
  6. Step 6: Final answer
    x = 1,204.21

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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.