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Finding the Fourth Proportional to 1,102.44, 1,521.29 and 605.07

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Solution

The fourth proportional to 1,102.44, 1,521.29 and 605.07 is: 834.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.44 : 1,521.29 = 605.07 : x
  2. Step 2: Convert to fraction form
    1,102.44/1,521.29 = 605.07/x
  3. Step 3: Cross multiply
    1,102.44x = 1,521.29 × 605.07
  4. Step 4: Simplify right side
    1,102.44x = 920,486.94
  5. Step 5: Solve for x
    x = 920,486.94/1,102.44
  6. Step 6: Final answer
    x = 834.95

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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.