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Finding the Fourth Proportional to 795.80, 1,100.70 and 703.80

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Solution

The fourth proportional to 795.80, 1,100.70 and 703.80 is: 973.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.80 : 1,100.70 = 703.80 : x
  2. Step 2: Convert to fraction form
    795.80/1,100.70 = 703.80/x
  3. Step 3: Cross multiply
    795.80x = 1,100.70 × 703.80
  4. Step 4: Simplify right side
    795.80x = 774,672.66
  5. Step 5: Solve for x
    x = 774,672.66/795.80
  6. Step 6: Final answer
    x = 973.45

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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.