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Finding the Fourth Proportional to 969.63, 1,454.69 and 285.63

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Solution

The fourth proportional to 969.63, 1,454.69 and 285.63 is: 428.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.63 : 1,454.69 = 285.63 : x
  2. Step 2: Convert to fraction form
    969.63/1,454.69 = 285.63/x
  3. Step 3: Cross multiply
    969.63x = 1,454.69 × 285.63
  4. Step 4: Simplify right side
    969.63x = 415,503.10
  5. Step 5: Solve for x
    x = 415,503.10/969.63
  6. Step 6: Final answer
    x = 428.52

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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.