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Finding the Fourth Proportional to 906.34, 1,357.80 and 742.72

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Solution

The fourth proportional to 906.34, 1,357.80 and 742.72 is: 1,112.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.34 : 1,357.80 = 742.72 : x
  2. Step 2: Convert to fraction form
    906.34/1,357.80 = 742.72/x
  3. Step 3: Cross multiply
    906.34x = 1,357.80 × 742.72
  4. Step 4: Simplify right side
    906.34x = 1,008,465.22
  5. Step 5: Solve for x
    x = 1,008,465.22/906.34
  6. Step 6: Final answer
    x = 1,112.68

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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.