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Finding the Fourth Proportional to 695.58, 958.94 and 498.74

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Solution

The fourth proportional to 695.58, 958.94 and 498.74 is: 687.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.58 : 958.94 = 498.74 : x
  2. Step 2: Convert to fraction form
    695.58/958.94 = 498.74/x
  3. Step 3: Cross multiply
    695.58x = 958.94 × 498.74
  4. Step 4: Simplify right side
    695.58x = 478,261.74
  5. Step 5: Solve for x
    x = 478,261.74/695.58
  6. Step 6: Final answer
    x = 687.57

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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.