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Finding the Fourth Proportional to 586.66, 809.42 and 334.59

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Solution

The fourth proportional to 586.66, 809.42 and 334.59 is: 461.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.66 : 809.42 = 334.59 : x
  2. Step 2: Convert to fraction form
    586.66/809.42 = 334.59/x
  3. Step 3: Cross multiply
    586.66x = 809.42 × 334.59
  4. Step 4: Simplify right side
    586.66x = 270,819.13
  5. Step 5: Solve for x
    x = 270,819.13/586.66
  6. Step 6: Final answer
    x = 461.63

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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.