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Finding the Fourth Proportional to 1,294.61, 1,786.56 and 790.46

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Solution

The fourth proportional to 1,294.61, 1,786.56 and 790.46 is: 1,090.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.61 : 1,786.56 = 790.46 : x
  2. Step 2: Convert to fraction form
    1,294.61/1,786.56 = 790.46/x
  3. Step 3: Cross multiply
    1,294.61x = 1,786.56 × 790.46
  4. Step 4: Simplify right side
    1,294.61x = 1,412,206.56
  5. Step 5: Solve for x
    x = 1,412,206.56/1,294.61
  6. Step 6: Final answer
    x = 1,090.83

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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.