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Finding the Fourth Proportional to 964.86, 1,326.58 and 858.94

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Solution

The fourth proportional to 964.86, 1,326.58 and 858.94 is: 1,180.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.86 : 1,326.58 = 858.94 : x
  2. Step 2: Convert to fraction form
    964.86/1,326.58 = 858.94/x
  3. Step 3: Cross multiply
    964.86x = 1,326.58 × 858.94
  4. Step 4: Simplify right side
    964.86x = 1,139,452.63
  5. Step 5: Solve for x
    x = 1,139,452.63/964.86
  6. Step 6: Final answer
    x = 1,180.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.