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Finding the Fourth Proportional to 1,218.42, 1,828.05 and 488.22

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Solution

The fourth proportional to 1,218.42, 1,828.05 and 488.22 is: 732.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.42 : 1,828.05 = 488.22 : x
  2. Step 2: Convert to fraction form
    1,218.42/1,828.05 = 488.22/x
  3. Step 3: Cross multiply
    1,218.42x = 1,828.05 × 488.22
  4. Step 4: Simplify right side
    1,218.42x = 892,490.57
  5. Step 5: Solve for x
    x = 892,490.57/1,218.42
  6. Step 6: Final answer
    x = 732.50

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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.