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Finding the Fourth Proportional to 969.02, 1,453.31 and 383.86

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Solution

The fourth proportional to 969.02, 1,453.31 and 383.86 is: 575.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.02 : 1,453.31 = 383.86 : x
  2. Step 2: Convert to fraction form
    969.02/1,453.31 = 383.86/x
  3. Step 3: Cross multiply
    969.02x = 1,453.31 × 383.86
  4. Step 4: Simplify right side
    969.02x = 557,867.58
  5. Step 5: Solve for x
    x = 557,867.58/969.02
  6. Step 6: Final answer
    x = 575.70

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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.