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Finding the Fourth Proportional to 1,200.43, 1,656.46 and 885.86

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Solution

The fourth proportional to 1,200.43, 1,656.46 and 885.86 is: 1,222.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.43 : 1,656.46 = 885.86 : x
  2. Step 2: Convert to fraction form
    1,200.43/1,656.46 = 885.86/x
  3. Step 3: Cross multiply
    1,200.43x = 1,656.46 × 885.86
  4. Step 4: Simplify right side
    1,200.43x = 1,467,391.66
  5. Step 5: Solve for x
    x = 1,467,391.66/1,200.43
  6. Step 6: Final answer
    x = 1,222.39

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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.