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Finding the Fourth Proportional to 586.30, 809.09 and 337.63

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Solution

The fourth proportional to 586.30, 809.09 and 337.63 is: 465.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.30 : 809.09 = 337.63 : x
  2. Step 2: Convert to fraction form
    586.30/809.09 = 337.63/x
  3. Step 3: Cross multiply
    586.30x = 809.09 × 337.63
  4. Step 4: Simplify right side
    586.30x = 273,171.88
  5. Step 5: Solve for x
    x = 273,171.88/586.30
  6. Step 6: Final answer
    x = 465.93

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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.