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Finding the Fourth Proportional to 589.76, 811.52 and 441.92

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Solution

The fourth proportional to 589.76, 811.52 and 441.92 is: 608.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.76 : 811.52 = 441.92 : x
  2. Step 2: Convert to fraction form
    589.76/811.52 = 441.92/x
  3. Step 3: Cross multiply
    589.76x = 811.52 × 441.92
  4. Step 4: Simplify right side
    589.76x = 358,626.92
  5. Step 5: Solve for x
    x = 358,626.92/589.76
  6. Step 6: Final answer
    x = 608.09

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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.