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Finding the Fourth Proportional to 1,442.96, 2,163.00 and 749.20

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Solution

The fourth proportional to 1,442.96, 2,163.00 and 749.20 is: 1,123.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.96 : 2,163.00 = 749.20 : x
  2. Step 2: Convert to fraction form
    1,442.96/2,163.00 = 749.20/x
  3. Step 3: Cross multiply
    1,442.96x = 2,163.00 × 749.20
  4. Step 4: Simplify right side
    1,442.96x = 1,620,521.06
  5. Step 5: Solve for x
    x = 1,620,521.06/1,442.96
  6. Step 6: Final answer
    x = 1,123.05

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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.