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Finding the Fourth Proportional to 969.03, 1,453.64 and 319.77

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Solution

The fourth proportional to 969.03, 1,453.64 and 319.77 is: 479.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.03 : 1,453.64 = 319.77 : x
  2. Step 2: Convert to fraction form
    969.03/1,453.64 = 319.77/x
  3. Step 3: Cross multiply
    969.03x = 1,453.64 × 319.77
  4. Step 4: Simplify right side
    969.03x = 464,828.86
  5. Step 5: Solve for x
    x = 464,828.86/969.03
  6. Step 6: Final answer
    x = 479.68

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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.