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Finding the Fourth Proportional to 1,636.63, 2,454.96 and 907.63

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Solution

The fourth proportional to 1,636.63, 2,454.96 and 907.63 is: 1,361.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.63 : 2,454.96 = 907.63 : x
  2. Step 2: Convert to fraction form
    1,636.63/2,454.96 = 907.63/x
  3. Step 3: Cross multiply
    1,636.63x = 2,454.96 × 907.63
  4. Step 4: Simplify right side
    1,636.63x = 2,228,183.07
  5. Step 5: Solve for x
    x = 2,228,183.07/1,636.63
  6. Step 6: Final answer
    x = 1,361.45

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Double scale
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1.5x scale

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.