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Finding the Fourth Proportional to 695.83, 959.71 and 485.94

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Solution

The fourth proportional to 695.83, 959.71 and 485.94 is: 670.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.83 : 959.71 = 485.94 : x
  2. Step 2: Convert to fraction form
    695.83/959.71 = 485.94/x
  3. Step 3: Cross multiply
    695.83x = 959.71 × 485.94
  4. Step 4: Simplify right side
    695.83x = 466,361.48
  5. Step 5: Solve for x
    x = 466,361.48/695.83
  6. Step 6: Final answer
    x = 670.22

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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.