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Finding the Fourth Proportional to 1,368.89, 2,053.43 and 444.75

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Solution

The fourth proportional to 1,368.89, 2,053.43 and 444.75 is: 667.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.89 : 2,053.43 = 444.75 : x
  2. Step 2: Convert to fraction form
    1,368.89/2,053.43 = 444.75/x
  3. Step 3: Cross multiply
    1,368.89x = 2,053.43 × 444.75
  4. Step 4: Simplify right side
    1,368.89x = 913,262.99
  5. Step 5: Solve for x
    x = 913,262.99/1,368.89
  6. Step 6: Final answer
    x = 667.16

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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.