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Finding the Fourth Proportional to 690.58, 1,034.89 and 382.57

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Solution

The fourth proportional to 690.58, 1,034.89 and 382.57 is: 573.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.58 : 1,034.89 = 382.57 : x
  2. Step 2: Convert to fraction form
    690.58/1,034.89 = 382.57/x
  3. Step 3: Cross multiply
    690.58x = 1,034.89 × 382.57
  4. Step 4: Simplify right side
    690.58x = 395,917.87
  5. Step 5: Solve for x
    x = 395,917.87/690.58
  6. Step 6: Final answer
    x = 573.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.