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Finding the Fourth Proportional to 1,746.03, 2,619.09 and 447.51

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Solution

The fourth proportional to 1,746.03, 2,619.09 and 447.51 is: 671.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.03 : 2,619.09 = 447.51 : x
  2. Step 2: Convert to fraction form
    1,746.03/2,619.09 = 447.51/x
  3. Step 3: Cross multiply
    1,746.03x = 2,619.09 × 447.51
  4. Step 4: Simplify right side
    1,746.03x = 1,172,068.97
  5. Step 5: Solve for x
    x = 1,172,068.97/1,746.03
  6. Step 6: Final answer
    x = 671.28

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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.