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Finding the Fourth Proportional to 695.32, 958.64 and 538.18

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Solution

The fourth proportional to 695.32, 958.64 and 538.18 is: 741.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.32 : 958.64 = 538.18 : x
  2. Step 2: Convert to fraction form
    695.32/958.64 = 538.18/x
  3. Step 3: Cross multiply
    695.32x = 958.64 × 538.18
  4. Step 4: Simplify right side
    695.32x = 515,915.79
  5. Step 5: Solve for x
    x = 515,915.79/695.32
  6. Step 6: Final answer
    x = 741.99

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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.