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Finding the Fourth Proportional to 497.91, 687.12 and 276.90

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Solution

The fourth proportional to 497.91, 687.12 and 276.90 is: 382.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.91 : 687.12 = 276.90 : x
  2. Step 2: Convert to fraction form
    497.91/687.12 = 276.90/x
  3. Step 3: Cross multiply
    497.91x = 687.12 × 276.90
  4. Step 4: Simplify right side
    497.91x = 190,263.53
  5. Step 5: Solve for x
    x = 190,263.53/497.91
  6. Step 6: Final answer
    x = 382.12

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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.