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Finding the Fourth Proportional to 886.69, 1,330.64 and 309.56

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Solution

The fourth proportional to 886.69, 1,330.64 and 309.56 is: 464.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.69 : 1,330.64 = 309.56 : x
  2. Step 2: Convert to fraction form
    886.69/1,330.64 = 309.56/x
  3. Step 3: Cross multiply
    886.69x = 1,330.64 × 309.56
  4. Step 4: Simplify right side
    886.69x = 411,917.02
  5. Step 5: Solve for x
    x = 411,917.02/886.69
  6. Step 6: Final answer
    x = 464.56

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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.