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Finding the Fourth Proportional to 1,260.37, 1,739.42 and 700.95

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Solution

The fourth proportional to 1,260.37, 1,739.42 and 700.95 is: 967.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.37 : 1,739.42 = 700.95 : x
  2. Step 2: Convert to fraction form
    1,260.37/1,739.42 = 700.95/x
  3. Step 3: Cross multiply
    1,260.37x = 1,739.42 × 700.95
  4. Step 4: Simplify right side
    1,260.37x = 1,219,248.20
  5. Step 5: Solve for x
    x = 1,219,248.20/1,260.37
  6. Step 6: Final answer
    x = 967.37

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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.