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Finding the Fourth Proportional to 1,062.97, 1,594.86 and 485.44

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Solution

The fourth proportional to 1,062.97, 1,594.86 and 485.44 is: 728.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.97 : 1,594.86 = 485.44 : x
  2. Step 2: Convert to fraction form
    1,062.97/1,594.86 = 485.44/x
  3. Step 3: Cross multiply
    1,062.97x = 1,594.86 × 485.44
  4. Step 4: Simplify right side
    1,062.97x = 774,203.03
  5. Step 5: Solve for x
    x = 774,203.03/1,062.97
  6. Step 6: Final answer
    x = 728.34

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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.