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Finding the Fourth Proportional to 802.56, 1,107.12 and 553.92

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Solution

The fourth proportional to 802.56, 1,107.12 and 553.92 is: 764.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.56 : 1,107.12 = 553.92 : x
  2. Step 2: Convert to fraction form
    802.56/1,107.12 = 553.92/x
  3. Step 3: Cross multiply
    802.56x = 1,107.12 × 553.92
  4. Step 4: Simplify right side
    802.56x = 613,255.91
  5. Step 5: Solve for x
    x = 613,255.91/802.56
  6. Step 6: Final answer
    x = 764.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.