Home / 1,588.36-2,381.32-897.03

Finding the Fourth Proportional to 1,588.36, 2,381.32 and 897.03

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Solution

The fourth proportional to 1,588.36, 2,381.32 and 897.03 is: 1,344.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.36 : 2,381.32 = 897.03 : x
  2. Step 2: Convert to fraction form
    1,588.36/2,381.32 = 897.03/x
  3. Step 3: Cross multiply
    1,588.36x = 2,381.32 × 897.03
  4. Step 4: Simplify right side
    1,588.36x = 2,136,115.48
  5. Step 5: Solve for x
    x = 2,136,115.48/1,588.36
  6. Step 6: Final answer
    x = 1,344.86

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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.