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Finding the Fourth Proportional to 572.92, 859.83 and 418.91

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Solution

The fourth proportional to 572.92, 859.83 and 418.91 is: 628.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.92 : 859.83 = 418.91 : x
  2. Step 2: Convert to fraction form
    572.92/859.83 = 418.91/x
  3. Step 3: Cross multiply
    572.92x = 859.83 × 418.91
  4. Step 4: Simplify right side
    572.92x = 360,191.39
  5. Step 5: Solve for x
    x = 360,191.39/572.92
  6. Step 6: Final answer
    x = 628.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.