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Finding the Fourth Proportional to 832.84, 1,248.84 and 277.35

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Solution

The fourth proportional to 832.84, 1,248.84 and 277.35 is: 415.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.84 : 1,248.84 = 277.35 : x
  2. Step 2: Convert to fraction form
    832.84/1,248.84 = 277.35/x
  3. Step 3: Cross multiply
    832.84x = 1,248.84 × 277.35
  4. Step 4: Simplify right side
    832.84x = 346,371.30
  5. Step 5: Solve for x
    x = 346,371.30/832.84
  6. Step 6: Final answer
    x = 415.89

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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.