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Finding the Fourth Proportional to 497.84, 687.02 and 301.30

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Solution

The fourth proportional to 497.84, 687.02 and 301.30 is: 415.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.84 : 687.02 = 301.30 : x
  2. Step 2: Convert to fraction form
    497.84/687.02 = 301.30/x
  3. Step 3: Cross multiply
    497.84x = 687.02 × 301.30
  4. Step 4: Simplify right side
    497.84x = 206,995.90
  5. Step 5: Solve for x
    x = 206,995.90/497.84
  6. Step 6: Final answer
    x = 415.79

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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.