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Finding the Fourth Proportional to 797.80, 1,103.46 and 705.80

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Solution

The fourth proportional to 797.80, 1,103.46 and 705.80 is: 976.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.80 : 1,103.46 = 705.80 : x
  2. Step 2: Convert to fraction form
    797.80/1,103.46 = 705.80/x
  3. Step 3: Cross multiply
    797.80x = 1,103.46 × 705.80
  4. Step 4: Simplify right side
    797.80x = 778,822.07
  5. Step 5: Solve for x
    x = 778,822.07/797.80
  6. Step 6: Final answer
    x = 976.21

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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.