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Finding the Fourth Proportional to 899.29, 1,349.45 and 379.26

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Solution

The fourth proportional to 899.29, 1,349.45 and 379.26 is: 569.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.29 : 1,349.45 = 379.26 : x
  2. Step 2: Convert to fraction form
    899.29/1,349.45 = 379.26/x
  3. Step 3: Cross multiply
    899.29x = 1,349.45 × 379.26
  4. Step 4: Simplify right side
    899.29x = 511,792.41
  5. Step 5: Solve for x
    x = 511,792.41/899.29
  6. Step 6: Final answer
    x = 569.11

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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.