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Finding the Fourth Proportional to 683.68, 943.09 and 421.51

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Solution

The fourth proportional to 683.68, 943.09 and 421.51 is: 581.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.68 : 943.09 = 421.51 : x
  2. Step 2: Convert to fraction form
    683.68/943.09 = 421.51/x
  3. Step 3: Cross multiply
    683.68x = 943.09 × 421.51
  4. Step 4: Simplify right side
    683.68x = 397,521.87
  5. Step 5: Solve for x
    x = 397,521.87/683.68
  6. Step 6: Final answer
    x = 581.44

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Half scale
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Double scale
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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.