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Finding the Fourth Proportional to 1,158.61, 1,736.29 and 540.85

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Solution

The fourth proportional to 1,158.61, 1,736.29 and 540.85 is: 810.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.61 : 1,736.29 = 540.85 : x
  2. Step 2: Convert to fraction form
    1,158.61/1,736.29 = 540.85/x
  3. Step 3: Cross multiply
    1,158.61x = 1,736.29 × 540.85
  4. Step 4: Simplify right side
    1,158.61x = 939,072.45
  5. Step 5: Solve for x
    x = 939,072.45/1,158.61
  6. Step 6: Final answer
    x = 810.52

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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.