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Finding the Fourth Proportional to 586.44, 809.64 and 411.96

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Solution

The fourth proportional to 586.44, 809.64 and 411.96 is: 568.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.44 : 809.64 = 411.96 : x
  2. Step 2: Convert to fraction form
    586.44/809.64 = 411.96/x
  3. Step 3: Cross multiply
    586.44x = 809.64 × 411.96
  4. Step 4: Simplify right side
    586.44x = 333,539.29
  5. Step 5: Solve for x
    x = 333,539.29/586.44
  6. Step 6: Final answer
    x = 568.75

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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.