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Finding the Fourth Proportional to 497.95, 682.29 and 490.66

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Solution

The fourth proportional to 497.95, 682.29 and 490.66 is: 672.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.95 : 682.29 = 490.66 : x
  2. Step 2: Convert to fraction form
    497.95/682.29 = 490.66/x
  3. Step 3: Cross multiply
    497.95x = 682.29 × 490.66
  4. Step 4: Simplify right side
    497.95x = 334,770.71
  5. Step 5: Solve for x
    x = 334,770.71/497.95
  6. Step 6: Final answer
    x = 672.30

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.