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Finding the Fourth Proportional to 683.19, 941.90 and 589.74

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Solution

The fourth proportional to 683.19, 941.90 and 589.74 is: 813.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.19 : 941.90 = 589.74 : x
  2. Step 2: Convert to fraction form
    683.19/941.90 = 589.74/x
  3. Step 3: Cross multiply
    683.19x = 941.90 × 589.74
  4. Step 4: Simplify right side
    683.19x = 555,473.16
  5. Step 5: Solve for x
    x = 555,473.16/683.19
  6. Step 6: Final answer
    x = 813.06

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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.