Home / 1,330.10-1,996.59-983.06

Finding the Fourth Proportional to 1,330.10, 1,996.59 and 983.06

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Solution

The fourth proportional to 1,330.10, 1,996.59 and 983.06 is: 1,475.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.10 : 1,996.59 = 983.06 : x
  2. Step 2: Convert to fraction form
    1,330.10/1,996.59 = 983.06/x
  3. Step 3: Cross multiply
    1,330.10x = 1,996.59 × 983.06
  4. Step 4: Simplify right side
    1,330.10x = 1,962,767.77
  5. Step 5: Solve for x
    x = 1,962,767.77/1,330.10
  6. Step 6: Final answer
    x = 1,475.65

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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.