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Finding the Fourth Proportional to 683.54, 943.28 and 627.75

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Solution

The fourth proportional to 683.54, 943.28 and 627.75 is: 866.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.54 : 943.28 = 627.75 : x
  2. Step 2: Convert to fraction form
    683.54/943.28 = 627.75/x
  3. Step 3: Cross multiply
    683.54x = 943.28 × 627.75
  4. Step 4: Simplify right side
    683.54x = 592,140.88
  5. Step 5: Solve for x
    x = 592,140.88/683.54
  6. Step 6: Final answer
    x = 866.29

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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.