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Finding the Fourth Proportional to 1,455.22, 2,006.82 and 957.64

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Solution

The fourth proportional to 1,455.22, 2,006.82 and 957.64 is: 1,320.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.22 : 2,006.82 = 957.64 : x
  2. Step 2: Convert to fraction form
    1,455.22/2,006.82 = 957.64/x
  3. Step 3: Cross multiply
    1,455.22x = 2,006.82 × 957.64
  4. Step 4: Simplify right side
    1,455.22x = 1,921,811.10
  5. Step 5: Solve for x
    x = 1,921,811.10/1,455.22
  6. Step 6: Final answer
    x = 1,320.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.