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Finding the Fourth Proportional to 1,368.57, 2,052.13 and 444.01

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Solution

The fourth proportional to 1,368.57, 2,052.13 and 444.01 is: 665.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.57 : 2,052.13 = 444.01 : x
  2. Step 2: Convert to fraction form
    1,368.57/2,052.13 = 444.01/x
  3. Step 3: Cross multiply
    1,368.57x = 2,052.13 × 444.01
  4. Step 4: Simplify right side
    1,368.57x = 911,166.24
  5. Step 5: Solve for x
    x = 911,166.24/1,368.57
  6. Step 6: Final answer
    x = 665.78

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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.