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Finding the Fourth Proportional to 1,864.92, 2,797.38 and 478.26

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Solution

The fourth proportional to 1,864.92, 2,797.38 and 478.26 is: 717.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864.92 : 2,797.38 = 478.26 : x
  2. Step 2: Convert to fraction form
    1,864.92/2,797.38 = 478.26/x
  3. Step 3: Cross multiply
    1,864.92x = 2,797.38 × 478.26
  4. Step 4: Simplify right side
    1,864.92x = 1,337,864.47
  5. Step 5: Solve for x
    x = 1,337,864.47/1,864.92
  6. Step 6: Final answer
    x = 717.38

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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.