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Finding the Fourth Proportional to 496.58, 684.98 and 297.28

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Solution

The fourth proportional to 496.58, 684.98 and 297.28 is: 410.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.58 : 684.98 = 297.28 : x
  2. Step 2: Convert to fraction form
    496.58/684.98 = 297.28/x
  3. Step 3: Cross multiply
    496.58x = 684.98 × 297.28
  4. Step 4: Simplify right side
    496.58x = 203,630.85
  5. Step 5: Solve for x
    x = 203,630.85/496.58
  6. Step 6: Final answer
    x = 410.07

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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.