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Finding the Fourth Proportional to 1,415.12, 1,952.64 and 794

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Solution

The fourth proportional to 1,415.12, 1,952.64 and 794 is: 1,095.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.12 : 1,952.64 = 794 : x
  2. Step 2: Convert to fraction form
    1,415.12/1,952.64 = 794/x
  3. Step 3: Cross multiply
    1,415.12x = 1,952.64 × 794
  4. Step 4: Simplify right side
    1,415.12x = 1,550,396.16
  5. Step 5: Solve for x
    x = 1,550,396.16/1,415.12
  6. Step 6: Final answer
    x = 1,095.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.