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Finding the Fourth Proportional to 834.17, 1,248.48 and 805.01

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Solution

The fourth proportional to 834.17, 1,248.48 and 805.01 is: 1,204.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.17 : 1,248.48 = 805.01 : x
  2. Step 2: Convert to fraction form
    834.17/1,248.48 = 805.01/x
  3. Step 3: Cross multiply
    834.17x = 1,248.48 × 805.01
  4. Step 4: Simplify right side
    834.17x = 1,005,032.64
  5. Step 5: Solve for x
    x = 1,005,032.64/834.17
  6. Step 6: Final answer
    x = 1,204.84

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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.