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Finding the Fourth Proportional to 497.88, 687.29 and 301.46

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Solution

The fourth proportional to 497.88, 687.29 and 301.46 is: 416.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.88 : 687.29 = 301.46 : x
  2. Step 2: Convert to fraction form
    497.88/687.29 = 301.46/x
  3. Step 3: Cross multiply
    497.88x = 687.29 × 301.46
  4. Step 4: Simplify right side
    497.88x = 207,185.50
  5. Step 5: Solve for x
    x = 207,185.50/497.88
  6. Step 6: Final answer
    x = 416.14

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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.