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Finding the Fourth Proportional to 1,102.96, 1,522.08 and 605.59

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Solution

The fourth proportional to 1,102.96, 1,522.08 and 605.59 is: 835.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.96 : 1,522.08 = 605.59 : x
  2. Step 2: Convert to fraction form
    1,102.96/1,522.08 = 605.59/x
  3. Step 3: Cross multiply
    1,102.96x = 1,522.08 × 605.59
  4. Step 4: Simplify right side
    1,102.96x = 921,748.82
  5. Step 5: Solve for x
    x = 921,748.82/1,102.96
  6. Step 6: Final answer
    x = 835.70

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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.