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Finding the Fourth Proportional to 899.64, 1,349.43 and 386.64

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Solution

The fourth proportional to 899.64, 1,349.43 and 386.64 is: 579.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.64 : 1,349.43 = 386.64 : x
  2. Step 2: Convert to fraction form
    899.64/1,349.43 = 386.64/x
  3. Step 3: Cross multiply
    899.64x = 1,349.43 × 386.64
  4. Step 4: Simplify right side
    899.64x = 521,743.62
  5. Step 5: Solve for x
    x = 521,743.62/899.64
  6. Step 6: Final answer
    x = 579.95

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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.