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Finding the Fourth Proportional to 919.67, 1,265.42 and 897.80

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Solution

The fourth proportional to 919.67, 1,265.42 and 897.80 is: 1,235.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.67 : 1,265.42 = 897.80 : x
  2. Step 2: Convert to fraction form
    919.67/1,265.42 = 897.80/x
  3. Step 3: Cross multiply
    919.67x = 1,265.42 × 897.80
  4. Step 4: Simplify right side
    919.67x = 1,136,083.26
  5. Step 5: Solve for x
    x = 1,136,083.26/919.67
  6. Step 6: Final answer
    x = 1,235.32

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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.