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Finding the Fourth Proportional to 1,158.44, 1,738.54 and 897.81

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Solution

The fourth proportional to 1,158.44, 1,738.54 and 897.81 is: 1,347.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.44 : 1,738.54 = 897.81 : x
  2. Step 2: Convert to fraction form
    1,158.44/1,738.54 = 897.81/x
  3. Step 3: Cross multiply
    1,158.44x = 1,738.54 × 897.81
  4. Step 4: Simplify right side
    1,158.44x = 1,560,878.60
  5. Step 5: Solve for x
    x = 1,560,878.60/1,158.44
  6. Step 6: Final answer
    x = 1,347.40

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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.