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Finding the Fourth Proportional to 1,442.40, 1,991.01 and 897.12

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Solution

The fourth proportional to 1,442.40, 1,991.01 and 897.12 is: 1,238.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.40 : 1,991.01 = 897.12 : x
  2. Step 2: Convert to fraction form
    1,442.40/1,991.01 = 897.12/x
  3. Step 3: Cross multiply
    1,442.40x = 1,991.01 × 897.12
  4. Step 4: Simplify right side
    1,442.40x = 1,786,170.41
  5. Step 5: Solve for x
    x = 1,786,170.41/1,442.40
  6. Step 6: Final answer
    x = 1,238.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.