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Finding the Fourth Proportional to 1,200.47, 1,798.90 and 809.05

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Solution

The fourth proportional to 1,200.47, 1,798.90 and 809.05 is: 1,212.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.47 : 1,798.90 = 809.05 : x
  2. Step 2: Convert to fraction form
    1,200.47/1,798.90 = 809.05/x
  3. Step 3: Cross multiply
    1,200.47x = 1,798.90 × 809.05
  4. Step 4: Simplify right side
    1,200.47x = 1,455,400.05
  5. Step 5: Solve for x
    x = 1,455,400.05/1,200.47
  6. Step 6: Final answer
    x = 1,212.36

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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.