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Finding the Fourth Proportional to 942.12, 1,299.16 and 569.16

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Solution

The fourth proportional to 942.12, 1,299.16 and 569.16 is: 784.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.12 : 1,299.16 = 569.16 : x
  2. Step 2: Convert to fraction form
    942.12/1,299.16 = 569.16/x
  3. Step 3: Cross multiply
    942.12x = 1,299.16 × 569.16
  4. Step 4: Simplify right side
    942.12x = 739,429.91
  5. Step 5: Solve for x
    x = 739,429.91/942.12
  6. Step 6: Final answer
    x = 784.86

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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.