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Finding the Fourth Proportional to 1,368.59, 2,052.86 and 444.12

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Solution

The fourth proportional to 1,368.59, 2,052.86 and 444.12 is: 666.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.59 : 2,052.86 = 444.12 : x
  2. Step 2: Convert to fraction form
    1,368.59/2,052.86 = 444.12/x
  3. Step 3: Cross multiply
    1,368.59x = 2,052.86 × 444.12
  4. Step 4: Simplify right side
    1,368.59x = 911,713.96
  5. Step 5: Solve for x
    x = 911,713.96/1,368.59
  6. Step 6: Final answer
    x = 666.17

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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.