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Finding the Fourth Proportional to 1,190.34, 1,785.33 and 399.71

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Solution

The fourth proportional to 1,190.34, 1,785.33 and 399.71 is: 599.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.34 : 1,785.33 = 399.71 : x
  2. Step 2: Convert to fraction form
    1,190.34/1,785.33 = 399.71/x
  3. Step 3: Cross multiply
    1,190.34x = 1,785.33 × 399.71
  4. Step 4: Simplify right side
    1,190.34x = 713,618.72
  5. Step 5: Solve for x
    x = 713,618.72/1,190.34
  6. Step 6: Final answer
    x = 599.51

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Double scale
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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.