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Finding the Fourth Proportional to 848.54, 1,267.22 and 723.80

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Solution

The fourth proportional to 848.54, 1,267.22 and 723.80 is: 1,080.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.54 : 1,267.22 = 723.80 : x
  2. Step 2: Convert to fraction form
    848.54/1,267.22 = 723.80/x
  3. Step 3: Cross multiply
    848.54x = 1,267.22 × 723.80
  4. Step 4: Simplify right side
    848.54x = 917,203.88
  5. Step 5: Solve for x
    x = 917,203.88/848.54
  6. Step 6: Final answer
    x = 1,080.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.