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Finding the Fourth Proportional to 498.66, 684.94 and 484.08

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Solution

The fourth proportional to 498.66, 684.94 and 484.08 is: 664.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.66 : 684.94 = 484.08 : x
  2. Step 2: Convert to fraction form
    498.66/684.94 = 484.08/x
  3. Step 3: Cross multiply
    498.66x = 684.94 × 484.08
  4. Step 4: Simplify right side
    498.66x = 331,565.76
  5. Step 5: Solve for x
    x = 331,565.76/498.66
  6. Step 6: Final answer
    x = 664.91

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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.