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Finding the Fourth Proportional to 498.42, 686.70 and 350.82

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Solution

The fourth proportional to 498.42, 686.70 and 350.82 is: 483.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.42 : 686.70 = 350.82 : x
  2. Step 2: Convert to fraction form
    498.42/686.70 = 350.82/x
  3. Step 3: Cross multiply
    498.42x = 686.70 × 350.82
  4. Step 4: Simplify right side
    498.42x = 240,908.09
  5. Step 5: Solve for x
    x = 240,908.09/498.42
  6. Step 6: Final answer
    x = 483.34

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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.