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Finding the Fourth Proportional to 905.09, 1,248.37 and 830.64

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Solution

The fourth proportional to 905.09, 1,248.37 and 830.64 is: 1,145.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.09 : 1,248.37 = 830.64 : x
  2. Step 2: Convert to fraction form
    905.09/1,248.37 = 830.64/x
  3. Step 3: Cross multiply
    905.09x = 1,248.37 × 830.64
  4. Step 4: Simplify right side
    905.09x = 1,036,948.58
  5. Step 5: Solve for x
    x = 1,036,948.58/905.09
  6. Step 6: Final answer
    x = 1,145.69

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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.