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Finding the Fourth Proportional to 683.84, 944.06 and 404.16

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Solution

The fourth proportional to 683.84, 944.06 and 404.16 is: 557.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.84 : 944.06 = 404.16 : x
  2. Step 2: Convert to fraction form
    683.84/944.06 = 404.16/x
  3. Step 3: Cross multiply
    683.84x = 944.06 × 404.16
  4. Step 4: Simplify right side
    683.84x = 381,551.29
  5. Step 5: Solve for x
    x = 381,551.29/683.84
  6. Step 6: Final answer
    x = 557.95

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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.