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Finding the Fourth Proportional to 2,259.92, 3,388.55 and 778.63

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Solution

The fourth proportional to 2,259.92, 3,388.55 and 778.63 is: 1,167.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.92 : 3,388.55 = 778.63 : x
  2. Step 2: Convert to fraction form
    2,259.92/3,388.55 = 778.63/x
  3. Step 3: Cross multiply
    2,259.92x = 3,388.55 × 778.63
  4. Step 4: Simplify right side
    2,259.92x = 2,638,426.69
  5. Step 5: Solve for x
    x = 2,638,426.69/2,259.92
  6. Step 6: Final answer
    x = 1,167.49

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1.5x scale

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.