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Finding the Fourth Proportional to 1,289.42, 1,778.86 and 958.64

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Solution

The fourth proportional to 1,289.42, 1,778.86 and 958.64 is: 1,322.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.42 : 1,778.86 = 958.64 : x
  2. Step 2: Convert to fraction form
    1,289.42/1,778.86 = 958.64/x
  3. Step 3: Cross multiply
    1,289.42x = 1,778.86 × 958.64
  4. Step 4: Simplify right side
    1,289.42x = 1,705,278.65
  5. Step 5: Solve for x
    x = 1,705,278.65/1,289.42
  6. Step 6: Final answer
    x = 1,322.52

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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.