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Finding the Fourth Proportional to 1,321.53, 1,980.95 and 860.24

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Solution

The fourth proportional to 1,321.53, 1,980.95 and 860.24 is: 1,289.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.53 : 1,980.95 = 860.24 : x
  2. Step 2: Convert to fraction form
    1,321.53/1,980.95 = 860.24/x
  3. Step 3: Cross multiply
    1,321.53x = 1,980.95 × 860.24
  4. Step 4: Simplify right side
    1,321.53x = 1,704,078.22
  5. Step 5: Solve for x
    x = 1,704,078.22/1,321.53
  6. Step 6: Final answer
    x = 1,289.47

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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.