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Finding the Fourth Proportional to 1,139.54, 1,709.44 and 490.46

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Solution

The fourth proportional to 1,139.54, 1,709.44 and 490.46 is: 735.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.54 : 1,709.44 = 490.46 : x
  2. Step 2: Convert to fraction form
    1,139.54/1,709.44 = 490.46/x
  3. Step 3: Cross multiply
    1,139.54x = 1,709.44 × 490.46
  4. Step 4: Simplify right side
    1,139.54x = 838,411.94
  5. Step 5: Solve for x
    x = 838,411.94/1,139.54
  6. Step 6: Final answer
    x = 735.75

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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.