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Finding the Fourth Proportional to 1,490.44, 2,056.33 and 860.88

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Solution

The fourth proportional to 1,490.44, 2,056.33 and 860.88 is: 1,187.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.44 : 2,056.33 = 860.88 : x
  2. Step 2: Convert to fraction form
    1,490.44/2,056.33 = 860.88/x
  3. Step 3: Cross multiply
    1,490.44x = 2,056.33 × 860.88
  4. Step 4: Simplify right side
    1,490.44x = 1,770,256.36
  5. Step 5: Solve for x
    x = 1,770,256.36/1,490.44
  6. Step 6: Final answer
    x = 1,187.74

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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.