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Finding the Fourth Proportional to 965.16, 1,447.74 and 315.94

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Solution

The fourth proportional to 965.16, 1,447.74 and 315.94 is: 473.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.16 : 1,447.74 = 315.94 : x
  2. Step 2: Convert to fraction form
    965.16/1,447.74 = 315.94/x
  3. Step 3: Cross multiply
    965.16x = 1,447.74 × 315.94
  4. Step 4: Simplify right side
    965.16x = 457,398.98
  5. Step 5: Solve for x
    x = 457,398.98/965.16
  6. Step 6: Final answer
    x = 473.91

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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.