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Finding the Fourth Proportional to 1,288.41, 1,933.51 and 899.34

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Solution

The fourth proportional to 1,288.41, 1,933.51 and 899.34 is: 1,349.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.41 : 1,933.51 = 899.34 : x
  2. Step 2: Convert to fraction form
    1,288.41/1,933.51 = 899.34/x
  3. Step 3: Cross multiply
    1,288.41x = 1,933.51 × 899.34
  4. Step 4: Simplify right side
    1,288.41x = 1,738,873.22
  5. Step 5: Solve for x
    x = 1,738,873.22/1,288.41
  6. Step 6: Final answer
    x = 1,349.63

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.