Home / 1,529.76-2,296.56-983.04

Finding the Fourth Proportional to 1,529.76, 2,296.56 and 983.04

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Solution

The fourth proportional to 1,529.76, 2,296.56 and 983.04 is: 1,475.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529.76 : 2,296.56 = 983.04 : x
  2. Step 2: Convert to fraction form
    1,529.76/2,296.56 = 983.04/x
  3. Step 3: Cross multiply
    1,529.76x = 2,296.56 × 983.04
  4. Step 4: Simplify right side
    1,529.76x = 2,257,610.34
  5. Step 5: Solve for x
    x = 2,257,610.34/1,529.76
  6. Step 6: Final answer
    x = 1,475.79

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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.