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Finding the Fourth Proportional to 969.35, 1,453.70 and 319.93

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Solution

The fourth proportional to 969.35, 1,453.70 and 319.93 is: 479.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.35 : 1,453.70 = 319.93 : x
  2. Step 2: Convert to fraction form
    969.35/1,453.70 = 319.93/x
  3. Step 3: Cross multiply
    969.35x = 1,453.70 × 319.93
  4. Step 4: Simplify right side
    969.35x = 465,079.41
  5. Step 5: Solve for x
    x = 465,079.41/969.35
  6. Step 6: Final answer
    x = 479.79

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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.