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Finding the Fourth Proportional to 942.11, 1,299.81 and 569.20

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Solution

The fourth proportional to 942.11, 1,299.81 and 569.20 is: 785.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.11 : 1,299.81 = 569.20 : x
  2. Step 2: Convert to fraction form
    942.11/1,299.81 = 569.20/x
  3. Step 3: Cross multiply
    942.11x = 1,299.81 × 569.20
  4. Step 4: Simplify right side
    942.11x = 739,851.85
  5. Step 5: Solve for x
    x = 739,851.85/942.11
  6. Step 6: Final answer
    x = 785.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.