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Finding the Fourth Proportional to 906.17, 1,357.04 and 818.52

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Solution

The fourth proportional to 906.17, 1,357.04 and 818.52 is: 1,225.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.17 : 1,357.04 = 818.52 : x
  2. Step 2: Convert to fraction form
    906.17/1,357.04 = 818.52/x
  3. Step 3: Cross multiply
    906.17x = 1,357.04 × 818.52
  4. Step 4: Simplify right side
    906.17x = 1,110,760.29
  5. Step 5: Solve for x
    x = 1,110,760.29/906.17
  6. Step 6: Final answer
    x = 1,225.78

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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.