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Finding the Fourth Proportional to 965.59, 1,448.61 and 316.38

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Solution

The fourth proportional to 965.59, 1,448.61 and 316.38 is: 474.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.59 : 1,448.61 = 316.38 : x
  2. Step 2: Convert to fraction form
    965.59/1,448.61 = 316.38/x
  3. Step 3: Cross multiply
    965.59x = 1,448.61 × 316.38
  4. Step 4: Simplify right side
    965.59x = 458,311.23
  5. Step 5: Solve for x
    x = 458,311.23/965.59
  6. Step 6: Final answer
    x = 474.64

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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.