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Finding the Fourth Proportional to 695.59, 1,047.44 and 514.25

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Solution

The fourth proportional to 695.59, 1,047.44 and 514.25 is: 774.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.59 : 1,047.44 = 514.25 : x
  2. Step 2: Convert to fraction form
    695.59/1,047.44 = 514.25/x
  3. Step 3: Cross multiply
    695.59x = 1,047.44 × 514.25
  4. Step 4: Simplify right side
    695.59x = 538,646.02
  5. Step 5: Solve for x
    x = 538,646.02/695.59
  6. Step 6: Final answer
    x = 774.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.