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Finding the Fourth Proportional to 683.96, 943.71 and 473.81

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Solution

The fourth proportional to 683.96, 943.71 and 473.81 is: 653.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.96 : 943.71 = 473.81 : x
  2. Step 2: Convert to fraction form
    683.96/943.71 = 473.81/x
  3. Step 3: Cross multiply
    683.96x = 943.71 × 473.81
  4. Step 4: Simplify right side
    683.96x = 447,134.52
  5. Step 5: Solve for x
    x = 447,134.52/683.96
  6. Step 6: Final answer
    x = 653.75

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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.