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Finding the Fourth Proportional to 1,594.78, 2,200.90 and 886.70

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Solution

The fourth proportional to 1,594.78, 2,200.90 and 886.70 is: 1,223.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.78 : 2,200.90 = 886.70 : x
  2. Step 2: Convert to fraction form
    1,594.78/2,200.90 = 886.70/x
  3. Step 3: Cross multiply
    1,594.78x = 2,200.90 × 886.70
  4. Step 4: Simplify right side
    1,594.78x = 1,951,538.03
  5. Step 5: Solve for x
    x = 1,951,538.03/1,594.78
  6. Step 6: Final answer
    x = 1,223.70

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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.