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Finding the Fourth Proportional to 1,445.97, 1,995.74 and 914.51

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Solution

The fourth proportional to 1,445.97, 1,995.74 and 914.51 is: 1,262.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.97 : 1,995.74 = 914.51 : x
  2. Step 2: Convert to fraction form
    1,445.97/1,995.74 = 914.51/x
  3. Step 3: Cross multiply
    1,445.97x = 1,995.74 × 914.51
  4. Step 4: Simplify right side
    1,445.97x = 1,825,124.19
  5. Step 5: Solve for x
    x = 1,825,124.19/1,445.97
  6. Step 6: Final answer
    x = 1,262.21

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1.5x scale

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.