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Finding the Fourth Proportional to 2,259.39, 3,389.63 and 778.71

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Solution

The fourth proportional to 2,259.39, 3,389.63 and 778.71 is: 1,168.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.39 : 3,389.63 = 778.71 : x
  2. Step 2: Convert to fraction form
    2,259.39/3,389.63 = 778.71/x
  3. Step 3: Cross multiply
    2,259.39x = 3,389.63 × 778.71
  4. Step 4: Simplify right side
    2,259.39x = 2,639,534.88
  5. Step 5: Solve for x
    x = 2,639,534.88/2,259.39
  6. Step 6: Final answer
    x = 1,168.25

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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.