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Finding the Fourth Proportional to 1,739.52, 2,606.34 and 860.85

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Solution

The fourth proportional to 1,739.52, 2,606.34 and 860.85 is: 1,289.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739.52 : 2,606.34 = 860.85 : x
  2. Step 2: Convert to fraction form
    1,739.52/2,606.34 = 860.85/x
  3. Step 3: Cross multiply
    1,739.52x = 2,606.34 × 860.85
  4. Step 4: Simplify right side
    1,739.52x = 2,243,654.76
  5. Step 5: Solve for x
    x = 2,243,654.76/1,739.52
  6. Step 6: Final answer
    x = 1,289.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.