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Finding the Fourth Proportional to 978.14, 1,349.34 and 584.84

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Solution

The fourth proportional to 978.14, 1,349.34 and 584.84 is: 806.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.14 : 1,349.34 = 584.84 : x
  2. Step 2: Convert to fraction form
    978.14/1,349.34 = 584.84/x
  3. Step 3: Cross multiply
    978.14x = 1,349.34 × 584.84
  4. Step 4: Simplify right side
    978.14x = 789,148.01
  5. Step 5: Solve for x
    x = 789,148.01/978.14
  6. Step 6: Final answer
    x = 806.78

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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.