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Finding the Fourth Proportional to 498.45, 687.14 and 350.62

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Solution

The fourth proportional to 498.45, 687.14 and 350.62 is: 483.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.45 : 687.14 = 350.62 : x
  2. Step 2: Convert to fraction form
    498.45/687.14 = 350.62/x
  3. Step 3: Cross multiply
    498.45x = 687.14 × 350.62
  4. Step 4: Simplify right side
    498.45x = 240,927.50
  5. Step 5: Solve for x
    x = 240,927.50/498.45
  6. Step 6: Final answer
    x = 483.36

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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.