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Finding the Fourth Proportional to 807.00, 1,111.42 and 765.28

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Solution

The fourth proportional to 807.00, 1,111.42 and 765.28 is: 1,053.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.00 : 1,111.42 = 765.28 : x
  2. Step 2: Convert to fraction form
    807.00/1,111.42 = 765.28/x
  3. Step 3: Cross multiply
    807.00x = 1,111.42 × 765.28
  4. Step 4: Simplify right side
    807.00x = 850,549.84
  5. Step 5: Solve for x
    x = 850,549.84/807.00
  6. Step 6: Final answer
    x = 1,053.97

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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.