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Finding the Fourth Proportional to 897.74, 1,349.22 and 744.64

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Solution

The fourth proportional to 897.74, 1,349.22 and 744.64 is: 1,119.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.74 : 1,349.22 = 744.64 : x
  2. Step 2: Convert to fraction form
    897.74/1,349.22 = 744.64/x
  3. Step 3: Cross multiply
    897.74x = 1,349.22 × 744.64
  4. Step 4: Simplify right side
    897.74x = 1,004,683.18
  5. Step 5: Solve for x
    x = 1,004,683.18/897.74
  6. Step 6: Final answer
    x = 1,119.12

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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.