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Finding the Fourth Proportional to 1,640.80, 2,459.76 and 910.24

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Solution

The fourth proportional to 1,640.80, 2,459.76 and 910.24 is: 1,364.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.80 : 2,459.76 = 910.24 : x
  2. Step 2: Convert to fraction form
    1,640.80/2,459.76 = 910.24/x
  3. Step 3: Cross multiply
    1,640.80x = 2,459.76 × 910.24
  4. Step 4: Simplify right side
    1,640.80x = 2,238,971.94
  5. Step 5: Solve for x
    x = 2,238,971.94/1,640.80
  6. Step 6: Final answer
    x = 1,364.56

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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.