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Finding the Fourth Proportional to 906.23, 1,360.88 and 561.59

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Solution

The fourth proportional to 906.23, 1,360.88 and 561.59 is: 843.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.23 : 1,360.88 = 561.59 : x
  2. Step 2: Convert to fraction form
    906.23/1,360.88 = 561.59/x
  3. Step 3: Cross multiply
    906.23x = 1,360.88 × 561.59
  4. Step 4: Simplify right side
    906.23x = 764,246.99
  5. Step 5: Solve for x
    x = 764,246.99/906.23
  6. Step 6: Final answer
    x = 843.33

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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.