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Finding the Fourth Proportional to 1,153.81, 1,729.69 and 423.22

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Solution

The fourth proportional to 1,153.81, 1,729.69 and 423.22 is: 634.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.81 : 1,729.69 = 423.22 : x
  2. Step 2: Convert to fraction form
    1,153.81/1,729.69 = 423.22/x
  3. Step 3: Cross multiply
    1,153.81x = 1,729.69 × 423.22
  4. Step 4: Simplify right side
    1,153.81x = 732,039.40
  5. Step 5: Solve for x
    x = 732,039.40/1,153.81
  6. Step 6: Final answer
    x = 634.45

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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.