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Finding the Fourth Proportional to 683.41, 943.07 and 431.05

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Solution

The fourth proportional to 683.41, 943.07 and 431.05 is: 594.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.41 : 943.07 = 431.05 : x
  2. Step 2: Convert to fraction form
    683.41/943.07 = 431.05/x
  3. Step 3: Cross multiply
    683.41x = 943.07 × 431.05
  4. Step 4: Simplify right side
    683.41x = 406,506.14
  5. Step 5: Solve for x
    x = 406,506.14/683.41
  6. Step 6: Final answer
    x = 594.82

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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.