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Finding the Fourth Proportional to 906.42, 1,360.97 and 558.75

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Solution

The fourth proportional to 906.42, 1,360.97 and 558.75 is: 838.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.42 : 1,360.97 = 558.75 : x
  2. Step 2: Convert to fraction form
    906.42/1,360.97 = 558.75/x
  3. Step 3: Cross multiply
    906.42x = 1,360.97 × 558.75
  4. Step 4: Simplify right side
    906.42x = 760,441.99
  5. Step 5: Solve for x
    x = 760,441.99/906.42
  6. Step 6: Final answer
    x = 838.95

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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.