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Finding the Fourth Proportional to 832.58, 1,248.89 and 285.39

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Solution

The fourth proportional to 832.58, 1,248.89 and 285.39 is: 428.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.58 : 1,248.89 = 285.39 : x
  2. Step 2: Convert to fraction form
    832.58/1,248.89 = 285.39/x
  3. Step 3: Cross multiply
    832.58x = 1,248.89 × 285.39
  4. Step 4: Simplify right side
    832.58x = 356,419.29
  5. Step 5: Solve for x
    x = 356,419.29/832.58
  6. Step 6: Final answer
    x = 428.09

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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.