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Finding the Fourth Proportional to 495.79, 684.27 and 321.64

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Solution

The fourth proportional to 495.79, 684.27 and 321.64 is: 443.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.79 : 684.27 = 321.64 : x
  2. Step 2: Convert to fraction form
    495.79/684.27 = 321.64/x
  3. Step 3: Cross multiply
    495.79x = 684.27 × 321.64
  4. Step 4: Simplify right side
    495.79x = 220,088.60
  5. Step 5: Solve for x
    x = 220,088.60/495.79
  6. Step 6: Final answer
    x = 443.91

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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.