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Finding the Fourth Proportional to 495.89, 684.65 and 309.45

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Solution

The fourth proportional to 495.89, 684.65 and 309.45 is: 427.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.89 : 684.65 = 309.45 : x
  2. Step 2: Convert to fraction form
    495.89/684.65 = 309.45/x
  3. Step 3: Cross multiply
    495.89x = 684.65 × 309.45
  4. Step 4: Simplify right side
    495.89x = 211,863.40
  5. Step 5: Solve for x
    x = 211,863.40/495.89
  6. Step 6: Final answer
    x = 427.24

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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.