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Finding the Fourth Proportional to 1,783.97, 2,675.91 and 485.45

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Solution

The fourth proportional to 1,783.97, 2,675.91 and 485.45 is: 728.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.97 : 2,675.91 = 485.45 : x
  2. Step 2: Convert to fraction form
    1,783.97/2,675.91 = 485.45/x
  3. Step 3: Cross multiply
    1,783.97x = 2,675.91 × 485.45
  4. Step 4: Simplify right side
    1,783.97x = 1,299,018.08
  5. Step 5: Solve for x
    x = 1,299,018.08/1,783.97
  6. Step 6: Final answer
    x = 728.16

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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.