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Finding the Fourth Proportional to 964.35, 1,448.90 and 617.83

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Solution

The fourth proportional to 964.35, 1,448.90 and 617.83 is: 928.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.35 : 1,448.90 = 617.83 : x
  2. Step 2: Convert to fraction form
    964.35/1,448.90 = 617.83/x
  3. Step 3: Cross multiply
    964.35x = 1,448.90 × 617.83
  4. Step 4: Simplify right side
    964.35x = 895,173.89
  5. Step 5: Solve for x
    x = 895,173.89/964.35
  6. Step 6: Final answer
    x = 928.27

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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.