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Finding the Fourth Proportional to 886.77, 1,330.16 and 399.69

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Solution

The fourth proportional to 886.77, 1,330.16 and 399.69 is: 599.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.77 : 1,330.16 = 399.69 : x
  2. Step 2: Convert to fraction form
    886.77/1,330.16 = 399.69/x
  3. Step 3: Cross multiply
    886.77x = 1,330.16 × 399.69
  4. Step 4: Simplify right side
    886.77x = 531,649.65
  5. Step 5: Solve for x
    x = 531,649.65/886.77
  6. Step 6: Final answer
    x = 599.54

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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.