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Finding the Fourth Proportional to 800.88, 1,192.62 and 779.28

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Solution

The fourth proportional to 800.88, 1,192.62 and 779.28 is: 1,160.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.88 : 1,192.62 = 779.28 : x
  2. Step 2: Convert to fraction form
    800.88/1,192.62 = 779.28/x
  3. Step 3: Cross multiply
    800.88x = 1,192.62 × 779.28
  4. Step 4: Simplify right side
    800.88x = 929,384.91
  5. Step 5: Solve for x
    x = 929,384.91/800.88
  6. Step 6: Final answer
    x = 1,160.45

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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.