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Finding the Fourth Proportional to 683.57, 942.94 and 434.45

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Solution

The fourth proportional to 683.57, 942.94 and 434.45 is: 599.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.57 : 942.94 = 434.45 : x
  2. Step 2: Convert to fraction form
    683.57/942.94 = 434.45/x
  3. Step 3: Cross multiply
    683.57x = 942.94 × 434.45
  4. Step 4: Simplify right side
    683.57x = 409,660.28
  5. Step 5: Solve for x
    x = 409,660.28/683.57
  6. Step 6: Final answer
    x = 599.30

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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.