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Finding the Fourth Proportional to 965.85, 1,448.91 and 316.50

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Solution

The fourth proportional to 965.85, 1,448.91 and 316.50 is: 474.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.85 : 1,448.91 = 316.50 : x
  2. Step 2: Convert to fraction form
    965.85/1,448.91 = 316.50/x
  3. Step 3: Cross multiply
    965.85x = 1,448.91 × 316.50
  4. Step 4: Simplify right side
    965.85x = 458,580.02
  5. Step 5: Solve for x
    x = 458,580.02/965.85
  6. Step 6: Final answer
    x = 474.79

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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.