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Finding the Fourth Proportional to 906.42, 1,249.65 and 720.53

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Solution

The fourth proportional to 906.42, 1,249.65 and 720.53 is: 993.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.42 : 1,249.65 = 720.53 : x
  2. Step 2: Convert to fraction form
    906.42/1,249.65 = 720.53/x
  3. Step 3: Cross multiply
    906.42x = 1,249.65 × 720.53
  4. Step 4: Simplify right side
    906.42x = 900,410.31
  5. Step 5: Solve for x
    x = 900,410.31/906.42
  6. Step 6: Final answer
    x = 993.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.