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Finding the Fourth Proportional to 965.29, 1,448.13 and 315.98

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Solution

The fourth proportional to 965.29, 1,448.13 and 315.98 is: 474.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.29 : 1,448.13 = 315.98 : x
  2. Step 2: Convert to fraction form
    965.29/1,448.13 = 315.98/x
  3. Step 3: Cross multiply
    965.29x = 1,448.13 × 315.98
  4. Step 4: Simplify right side
    965.29x = 457,580.12
  5. Step 5: Solve for x
    x = 457,580.12/965.29
  6. Step 6: Final answer
    x = 474.03

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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.