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Finding the Fourth Proportional to 683.26, 942.77 and 384.43

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Solution

The fourth proportional to 683.26, 942.77 and 384.43 is: 530.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.26 : 942.77 = 384.43 : x
  2. Step 2: Convert to fraction form
    683.26/942.77 = 384.43/x
  3. Step 3: Cross multiply
    683.26x = 942.77 × 384.43
  4. Step 4: Simplify right side
    683.26x = 362,429.07
  5. Step 5: Solve for x
    x = 362,429.07/683.26
  6. Step 6: Final answer
    x = 530.44

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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.