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Finding the Fourth Proportional to 695.25, 957.56 and 646.82

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Solution

The fourth proportional to 695.25, 957.56 and 646.82 is: 890.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.25 : 957.56 = 646.82 : x
  2. Step 2: Convert to fraction form
    695.25/957.56 = 646.82/x
  3. Step 3: Cross multiply
    695.25x = 957.56 × 646.82
  4. Step 4: Simplify right side
    695.25x = 619,364.53
  5. Step 5: Solve for x
    x = 619,364.53/695.25
  6. Step 6: Final answer
    x = 890.85

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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.