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Finding the Fourth Proportional to 1,490.76, 2,056.63 and 860.84

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Solution

The fourth proportional to 1,490.76, 2,056.63 and 860.84 is: 1,187.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.76 : 2,056.63 = 860.84 : x
  2. Step 2: Convert to fraction form
    1,490.76/2,056.63 = 860.84/x
  3. Step 3: Cross multiply
    1,490.76x = 2,056.63 × 860.84
  4. Step 4: Simplify right side
    1,490.76x = 1,770,429.37
  5. Step 5: Solve for x
    x = 1,770,429.37/1,490.76
  6. Step 6: Final answer
    x = 1,187.60

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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.