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Finding the Fourth Proportional to 495.81, 684.29 and 412.79

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Solution

The fourth proportional to 495.81, 684.29 and 412.79 is: 569.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.81 : 684.29 = 412.79 : x
  2. Step 2: Convert to fraction form
    495.81/684.29 = 412.79/x
  3. Step 3: Cross multiply
    495.81x = 684.29 × 412.79
  4. Step 4: Simplify right side
    495.81x = 282,465.68
  5. Step 5: Solve for x
    x = 282,465.68/495.81
  6. Step 6: Final answer
    x = 569.71

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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.