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Finding the Fourth Proportional to 1,260.33, 1,739.36 and 700.84

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Solution

The fourth proportional to 1,260.33, 1,739.36 and 700.84 is: 967.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.33 : 1,739.36 = 700.84 : x
  2. Step 2: Convert to fraction form
    1,260.33/1,739.36 = 700.84/x
  3. Step 3: Cross multiply
    1,260.33x = 1,739.36 × 700.84
  4. Step 4: Simplify right side
    1,260.33x = 1,219,013.06
  5. Step 5: Solve for x
    x = 1,219,013.06/1,260.33
  6. Step 6: Final answer
    x = 967.22

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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.