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Finding the Fourth Proportional to 1,158.89, 1,738.87 and 541.84

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Solution

The fourth proportional to 1,158.89, 1,738.87 and 541.84 is: 813.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.89 : 1,738.87 = 541.84 : x
  2. Step 2: Convert to fraction form
    1,158.89/1,738.87 = 541.84/x
  3. Step 3: Cross multiply
    1,158.89x = 1,738.87 × 541.84
  4. Step 4: Simplify right side
    1,158.89x = 942,180.63
  5. Step 5: Solve for x
    x = 942,180.63/1,158.89
  6. Step 6: Final answer
    x = 813.01

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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.