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Finding the Fourth Proportional to 964.83, 1,329.44 and 653.79

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Solution

The fourth proportional to 964.83, 1,329.44 and 653.79 is: 900.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.83 : 1,329.44 = 653.79 : x
  2. Step 2: Convert to fraction form
    964.83/1,329.44 = 653.79/x
  3. Step 3: Cross multiply
    964.83x = 1,329.44 × 653.79
  4. Step 4: Simplify right side
    964.83x = 869,171.31
  5. Step 5: Solve for x
    x = 869,171.31/964.83
  6. Step 6: Final answer
    x = 900.85

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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.