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Finding the Fourth Proportional to 690.88, 1,034.70 and 382.24

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Solution

The fourth proportional to 690.88, 1,034.70 and 382.24 is: 572.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.88 : 1,034.70 = 382.24 : x
  2. Step 2: Convert to fraction form
    690.88/1,034.70 = 382.24/x
  3. Step 3: Cross multiply
    690.88x = 1,034.70 × 382.24
  4. Step 4: Simplify right side
    690.88x = 395,503.73
  5. Step 5: Solve for x
    x = 395,503.73/690.88
  6. Step 6: Final answer
    x = 572.46

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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.