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Finding the Fourth Proportional to 2,296.50, 3,444.75 and 910.59

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Solution

The fourth proportional to 2,296.50, 3,444.75 and 910.59 is: 1,365.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.50 : 3,444.75 = 910.59 : x
  2. Step 2: Convert to fraction form
    2,296.50/3,444.75 = 910.59/x
  3. Step 3: Cross multiply
    2,296.50x = 3,444.75 × 910.59
  4. Step 4: Simplify right side
    2,296.50x = 3,136,754.90
  5. Step 5: Solve for x
    x = 3,136,754.90/2,296.50
  6. Step 6: Final answer
    x = 1,365.89

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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.