Home / 1,218.41-1,828.10-488.50

Finding the Fourth Proportional to 1,218.41, 1,828.10 and 488.50

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Solution

The fourth proportional to 1,218.41, 1,828.10 and 488.50 is: 732.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.41 : 1,828.10 = 488.50 : x
  2. Step 2: Convert to fraction form
    1,218.41/1,828.10 = 488.50/x
  3. Step 3: Cross multiply
    1,218.41x = 1,828.10 × 488.50
  4. Step 4: Simplify right side
    1,218.41x = 893,023.50
  5. Step 5: Solve for x
    x = 893,023.50/1,218.41
  6. Step 6: Final answer
    x = 732.94

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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.