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Finding the Fourth Proportional to 694.96, 957.72 and 498.14

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Solution

The fourth proportional to 694.96, 957.72 and 498.14 is: 686.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.96 : 957.72 = 498.14 : x
  2. Step 2: Convert to fraction form
    694.96/957.72 = 498.14/x
  3. Step 3: Cross multiply
    694.96x = 957.72 × 498.14
  4. Step 4: Simplify right side
    694.96x = 477,078.64
  5. Step 5: Solve for x
    x = 477,078.64/694.96
  6. Step 6: Final answer
    x = 686.48

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1.5x scale

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.