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Finding the Fourth Proportional to 585.87, 809.18 and 389.04

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Solution

The fourth proportional to 585.87, 809.18 and 389.04 is: 537.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.87 : 809.18 = 389.04 : x
  2. Step 2: Convert to fraction form
    585.87/809.18 = 389.04/x
  3. Step 3: Cross multiply
    585.87x = 809.18 × 389.04
  4. Step 4: Simplify right side
    585.87x = 314,797.40
  5. Step 5: Solve for x
    x = 314,797.40/585.87
  6. Step 6: Final answer
    x = 537.32

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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.