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Finding the Fourth Proportional to 1,640.75, 2,459.91 and 991.34

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Solution

The fourth proportional to 1,640.75, 2,459.91 and 991.34 is: 1,486.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.75 : 2,459.91 = 991.34 : x
  2. Step 2: Convert to fraction form
    1,640.75/2,459.91 = 991.34/x
  3. Step 3: Cross multiply
    1,640.75x = 2,459.91 × 991.34
  4. Step 4: Simplify right side
    1,640.75x = 2,438,598.60
  5. Step 5: Solve for x
    x = 2,438,598.60/1,640.75
  6. Step 6: Final answer
    x = 1,486.27

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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.