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Finding the Fourth Proportional to 1,599.39, 2,206.77 and 900.78

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Solution

The fourth proportional to 1,599.39, 2,206.77 and 900.78 is: 1,242.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.39 : 2,206.77 = 900.78 : x
  2. Step 2: Convert to fraction form
    1,599.39/2,206.77 = 900.78/x
  3. Step 3: Cross multiply
    1,599.39x = 2,206.77 × 900.78
  4. Step 4: Simplify right side
    1,599.39x = 1,987,814.28
  5. Step 5: Solve for x
    x = 1,987,814.28/1,599.39
  6. Step 6: Final answer
    x = 1,242.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.