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Finding the Fourth Proportional to 683.17, 943.14 and 496.33

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Solution

The fourth proportional to 683.17, 943.14 and 496.33 is: 685.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.17 : 943.14 = 496.33 : x
  2. Step 2: Convert to fraction form
    683.17/943.14 = 496.33/x
  3. Step 3: Cross multiply
    683.17x = 943.14 × 496.33
  4. Step 4: Simplify right side
    683.17x = 468,108.18
  5. Step 5: Solve for x
    x = 468,108.18/683.17
  6. Step 6: Final answer
    x = 685.20

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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.