Home / 1,530.55-2,296.23-982.99

Finding the Fourth Proportional to 1,530.55, 2,296.23 and 982.99

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Solution

The fourth proportional to 1,530.55, 2,296.23 and 982.99 is: 1,474.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.55 : 2,296.23 = 982.99 : x
  2. Step 2: Convert to fraction form
    1,530.55/2,296.23 = 982.99/x
  3. Step 3: Cross multiply
    1,530.55x = 2,296.23 × 982.99
  4. Step 4: Simplify right side
    1,530.55x = 2,257,171.13
  5. Step 5: Solve for x
    x = 2,257,171.13/1,530.55
  6. Step 6: Final answer
    x = 1,474.75

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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.