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Finding the Fourth Proportional to 1,218.48, 1,828.86 and 669.91

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Solution

The fourth proportional to 1,218.48, 1,828.86 and 669.91 is: 1,005.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.48 : 1,828.86 = 669.91 : x
  2. Step 2: Convert to fraction form
    1,218.48/1,828.86 = 669.91/x
  3. Step 3: Cross multiply
    1,218.48x = 1,828.86 × 669.91
  4. Step 4: Simplify right side
    1,218.48x = 1,225,171.60
  5. Step 5: Solve for x
    x = 1,225,171.60/1,218.48
  6. Step 6: Final answer
    x = 1,005.49

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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.