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Finding the Fourth Proportional to 684.20, 943.98 and 404.46

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Solution

The fourth proportional to 684.20, 943.98 and 404.46 is: 558.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.20 : 943.98 = 404.46 : x
  2. Step 2: Convert to fraction form
    684.20/943.98 = 404.46/x
  3. Step 3: Cross multiply
    684.20x = 943.98 × 404.46
  4. Step 4: Simplify right side
    684.20x = 381,802.15
  5. Step 5: Solve for x
    x = 381,802.15/684.20
  6. Step 6: Final answer
    x = 558.03

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1.5x scale

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.