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Finding the Fourth Proportional to 684.50, 944.57 and 404.74

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Solution

The fourth proportional to 684.50, 944.57 and 404.74 is: 558.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.50 : 944.57 = 404.74 : x
  2. Step 2: Convert to fraction form
    684.50/944.57 = 404.74/x
  3. Step 3: Cross multiply
    684.50x = 944.57 × 404.74
  4. Step 4: Simplify right side
    684.50x = 382,305.26
  5. Step 5: Solve for x
    x = 382,305.26/684.50
  6. Step 6: Final answer
    x = 558.52

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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.