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Finding the Fourth Proportional to 495.95, 684.29 and 309.43

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Solution

The fourth proportional to 495.95, 684.29 and 309.43 is: 426.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.95 : 684.29 = 309.43 : x
  2. Step 2: Convert to fraction form
    495.95/684.29 = 309.43/x
  3. Step 3: Cross multiply
    495.95x = 684.29 × 309.43
  4. Step 4: Simplify right side
    495.95x = 211,734.89
  5. Step 5: Solve for x
    x = 211,734.89/495.95
  6. Step 6: Final answer
    x = 426.93

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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.