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Finding the Fourth Proportional to 1,135.71, 1,704.02 and 442.59

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Solution

The fourth proportional to 1,135.71, 1,704.02 and 442.59 is: 664.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.71 : 1,704.02 = 442.59 : x
  2. Step 2: Convert to fraction form
    1,135.71/1,704.02 = 442.59/x
  3. Step 3: Cross multiply
    1,135.71x = 1,704.02 × 442.59
  4. Step 4: Simplify right side
    1,135.71x = 754,173.61
  5. Step 5: Solve for x
    x = 754,173.61/1,135.71
  6. Step 6: Final answer
    x = 664.05

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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.