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Finding the Fourth Proportional to 1,223.21, 1,826.98 and 979.00

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Solution

The fourth proportional to 1,223.21, 1,826.98 and 979.00 is: 1,462.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.21 : 1,826.98 = 979.00 : x
  2. Step 2: Convert to fraction form
    1,223.21/1,826.98 = 979.00/x
  3. Step 3: Cross multiply
    1,223.21x = 1,826.98 × 979.00
  4. Step 4: Simplify right side
    1,223.21x = 1,788,606.41
  5. Step 5: Solve for x
    x = 1,788,606.41/1,223.21
  6. Step 6: Final answer
    x = 1,462.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.