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Finding the Fourth Proportional to 498.40, 687.45 and 301.75

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Solution

The fourth proportional to 498.40, 687.45 and 301.75 is: 416.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.40 : 687.45 = 301.75 : x
  2. Step 2: Convert to fraction form
    498.40/687.45 = 301.75/x
  3. Step 3: Cross multiply
    498.40x = 687.45 × 301.75
  4. Step 4: Simplify right side
    498.40x = 207,438.04
  5. Step 5: Solve for x
    x = 207,438.04/498.40
  6. Step 6: Final answer
    x = 416.21

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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.