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Finding the Fourth Proportional to 942, 1,299.12 and 694.16

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Solution

The fourth proportional to 942, 1,299.12 and 694.16 is: 957.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    942 : 1,299.12 = 694.16 : x
  2. Step 2: Convert to fraction form
    942/1,299.12 = 694.16/x
  3. Step 3: Cross multiply
    942x = 1,299.12 × 694.16
  4. Step 4: Simplify right side
    942x = 901,797.14
  5. Step 5: Solve for x
    x = 901,797.14/942
  6. Step 6: Final answer
    x = 957.32

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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.