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Finding the Fourth Proportional to 955.32, 1,429.74 and 739.86

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Solution

The fourth proportional to 955.32, 1,429.74 and 739.86 is: 1,107.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.32 : 1,429.74 = 739.86 : x
  2. Step 2: Convert to fraction form
    955.32/1,429.74 = 739.86/x
  3. Step 3: Cross multiply
    955.32x = 1,429.74 × 739.86
  4. Step 4: Simplify right side
    955.32x = 1,057,807.44
  5. Step 5: Solve for x
    x = 1,057,807.44/955.32
  6. Step 6: Final answer
    x = 1,107.28

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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.