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Finding the Fourth Proportional to 1,490.25, 2,056.45 and 860.81

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Solution

The fourth proportional to 1,490.25, 2,056.45 and 860.81 is: 1,187.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.25 : 2,056.45 = 860.81 : x
  2. Step 2: Convert to fraction form
    1,490.25/2,056.45 = 860.81/x
  3. Step 3: Cross multiply
    1,490.25x = 2,056.45 × 860.81
  4. Step 4: Simplify right side
    1,490.25x = 1,770,212.72
  5. Step 5: Solve for x
    x = 1,770,212.72/1,490.25
  6. Step 6: Final answer
    x = 1,187.86

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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.