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Finding the Fourth Proportional to 683.22, 943.20 and 434.76

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Solution

The fourth proportional to 683.22, 943.20 and 434.76 is: 600.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.22 : 943.20 = 434.76 : x
  2. Step 2: Convert to fraction form
    683.22/943.20 = 434.76/x
  3. Step 3: Cross multiply
    683.22x = 943.20 × 434.76
  4. Step 4: Simplify right side
    683.22x = 410,065.63
  5. Step 5: Solve for x
    x = 410,065.63/683.22
  6. Step 6: Final answer
    x = 600.20

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Half scale
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Double scale
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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.