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Finding the Fourth Proportional to 497.86, 687.16 and 298.76

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Solution

The fourth proportional to 497.86, 687.16 and 298.76 is: 412.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.86 : 687.16 = 298.76 : x
  2. Step 2: Convert to fraction form
    497.86/687.16 = 298.76/x
  3. Step 3: Cross multiply
    497.86x = 687.16 × 298.76
  4. Step 4: Simplify right side
    497.86x = 205,295.92
  5. Step 5: Solve for x
    x = 205,295.92/497.86
  6. Step 6: Final answer
    x = 412.36

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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.