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Finding the Fourth Proportional to 683.82, 943.76 and 526.19

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Solution

The fourth proportional to 683.82, 943.76 and 526.19 is: 726.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.82 : 943.76 = 526.19 : x
  2. Step 2: Convert to fraction form
    683.82/943.76 = 526.19/x
  3. Step 3: Cross multiply
    683.82x = 943.76 × 526.19
  4. Step 4: Simplify right side
    683.82x = 496,593.67
  5. Step 5: Solve for x
    x = 496,593.67/683.82
  6. Step 6: Final answer
    x = 726.21

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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.