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Finding the Fourth Proportional to 695.78, 959.81 and 509.07

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Solution

The fourth proportional to 695.78, 959.81 and 509.07 is: 702.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.78 : 959.81 = 509.07 : x
  2. Step 2: Convert to fraction form
    695.78/959.81 = 509.07/x
  3. Step 3: Cross multiply
    695.78x = 959.81 × 509.07
  4. Step 4: Simplify right side
    695.78x = 488,610.48
  5. Step 5: Solve for x
    x = 488,610.48/695.78
  6. Step 6: Final answer
    x = 702.25

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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.