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Finding the Fourth Proportional to 1,153.58, 1,729.94 and 605.70

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Solution

The fourth proportional to 1,153.58, 1,729.94 and 605.70 is: 908.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.58 : 1,729.94 = 605.70 : x
  2. Step 2: Convert to fraction form
    1,153.58/1,729.94 = 605.70/x
  3. Step 3: Cross multiply
    1,153.58x = 1,729.94 × 605.70
  4. Step 4: Simplify right side
    1,153.58x = 1,047,821.63
  5. Step 5: Solve for x
    x = 1,047,821.63/1,153.58
  6. Step 6: Final answer
    x = 908.33

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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.