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Finding the Fourth Proportional to 695.73, 1,040.40 and 511.20

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Solution

The fourth proportional to 695.73, 1,040.40 and 511.20 is: 764.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.73 : 1,040.40 = 511.20 : x
  2. Step 2: Convert to fraction form
    695.73/1,040.40 = 511.20/x
  3. Step 3: Cross multiply
    695.73x = 1,040.40 × 511.20
  4. Step 4: Simplify right side
    695.73x = 531,852.48
  5. Step 5: Solve for x
    x = 531,852.48/695.73
  6. Step 6: Final answer
    x = 764.45

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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.