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Finding the Fourth Proportional to 786.46, 1,079.93 and 703.54

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Solution

The fourth proportional to 786.46, 1,079.93 and 703.54 is: 966.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.46 : 1,079.93 = 703.54 : x
  2. Step 2: Convert to fraction form
    786.46/1,079.93 = 703.54/x
  3. Step 3: Cross multiply
    786.46x = 1,079.93 × 703.54
  4. Step 4: Simplify right side
    786.46x = 759,770.99
  5. Step 5: Solve for x
    x = 759,770.99/786.46
  6. Step 6: Final answer
    x = 966.07

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.