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Finding the Fourth Proportional to 1,294.41, 1,786.29 and 790.12

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Solution

The fourth proportional to 1,294.41, 1,786.29 and 790.12 is: 1,090.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.41 : 1,786.29 = 790.12 : x
  2. Step 2: Convert to fraction form
    1,294.41/1,786.29 = 790.12/x
  3. Step 3: Cross multiply
    1,294.41x = 1,786.29 × 790.12
  4. Step 4: Simplify right side
    1,294.41x = 1,411,383.45
  5. Step 5: Solve for x
    x = 1,411,383.45/1,294.41
  6. Step 6: Final answer
    x = 1,090.37

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Double scale
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1.5x scale

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.