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Finding the Fourth Proportional to 1,664.64, 2,295.96 and 1,074.72

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Solution

The fourth proportional to 1,664.64, 2,295.96 and 1,074.72 is: 1,482.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.64 : 2,295.96 = 1,074.72 : x
  2. Step 2: Convert to fraction form
    1,664.64/2,295.96 = 1,074.72/x
  3. Step 3: Cross multiply
    1,664.64x = 2,295.96 × 1,074.72
  4. Step 4: Simplify right side
    1,664.64x = 2,467,514.13
  5. Step 5: Solve for x
    x = 2,467,514.13/1,664.64
  6. Step 6: Final answer
    x = 1,482.31

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