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Finding the Fourth Proportional to 906.29, 1,360.91 and 561.83

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Solution

The fourth proportional to 906.29, 1,360.91 and 561.83 is: 843.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.29 : 1,360.91 = 561.83 : x
  2. Step 2: Convert to fraction form
    906.29/1,360.91 = 561.83/x
  3. Step 3: Cross multiply
    906.29x = 1,360.91 × 561.83
  4. Step 4: Simplify right side
    906.29x = 764,590.45
  5. Step 5: Solve for x
    x = 764,590.45/906.29
  6. Step 6: Final answer
    x = 843.65

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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.