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Finding the Fourth Proportional to 695.03, 957.81 and 498.20

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Solution

The fourth proportional to 695.03, 957.81 and 498.20 is: 686.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.03 : 957.81 = 498.20 : x
  2. Step 2: Convert to fraction form
    695.03/957.81 = 498.20/x
  3. Step 3: Cross multiply
    695.03x = 957.81 × 498.20
  4. Step 4: Simplify right side
    695.03x = 477,176.15
  5. Step 5: Solve for x
    x = 477,176.15/695.03
  6. Step 6: Final answer
    x = 686.56

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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.