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Finding the Fourth Proportional to 586.79, 809.75 and 338.25

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Solution

The fourth proportional to 586.79, 809.75 and 338.25 is: 466.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.79 : 809.75 = 338.25 : x
  2. Step 2: Convert to fraction form
    586.79/809.75 = 338.25/x
  3. Step 3: Cross multiply
    586.79x = 809.75 × 338.25
  4. Step 4: Simplify right side
    586.79x = 273,896.25
  5. Step 5: Solve for x
    x = 273,896.25/586.79
  6. Step 6: Final answer
    x = 466.77

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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.