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Finding the Fourth Proportional to 695.55, 959.81 and 415.91

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Solution

The fourth proportional to 695.55, 959.81 and 415.91 is: 573.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.55 : 959.81 = 415.91 : x
  2. Step 2: Convert to fraction form
    695.55/959.81 = 415.91/x
  3. Step 3: Cross multiply
    695.55x = 959.81 × 415.91
  4. Step 4: Simplify right side
    695.55x = 399,195.12
  5. Step 5: Solve for x
    x = 399,195.12/695.55
  6. Step 6: Final answer
    x = 573.93

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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.