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Finding the Fourth Proportional to 900.35, 1,239.72 and 767.31

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Solution

The fourth proportional to 900.35, 1,239.72 and 767.31 is: 1,056.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.35 : 1,239.72 = 767.31 : x
  2. Step 2: Convert to fraction form
    900.35/1,239.72 = 767.31/x
  3. Step 3: Cross multiply
    900.35x = 1,239.72 × 767.31
  4. Step 4: Simplify right side
    900.35x = 951,249.55
  5. Step 5: Solve for x
    x = 951,249.55/900.35
  6. Step 6: Final answer
    x = 1,056.54

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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.