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Finding the Fourth Proportional to 495.64, 684.08 and 309.24

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Solution

The fourth proportional to 495.64, 684.08 and 309.24 is: 426.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.64 : 684.08 = 309.24 : x
  2. Step 2: Convert to fraction form
    495.64/684.08 = 309.24/x
  3. Step 3: Cross multiply
    495.64x = 684.08 × 309.24
  4. Step 4: Simplify right side
    495.64x = 211,544.90
  5. Step 5: Solve for x
    x = 211,544.90/495.64
  6. Step 6: Final answer
    x = 426.81

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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.