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Finding the Fourth Proportional to 823.84, 1,236.12 and 439

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Solution

The fourth proportional to 823.84, 1,236.12 and 439 is: 658.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.84 : 1,236.12 = 439 : x
  2. Step 2: Convert to fraction form
    823.84/1,236.12 = 439/x
  3. Step 3: Cross multiply
    823.84x = 1,236.12 × 439
  4. Step 4: Simplify right side
    823.84x = 542,656.68
  5. Step 5: Solve for x
    x = 542,656.68/823.84
  6. Step 6: Final answer
    x = 658.69

Related Problems

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Double scale
Find fourth proportional to 824.84, 1,237.62 and 440
Similar ratio
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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.