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Finding the Fourth Proportional to 790.14, 1,090.29 and 440.83

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Solution

The fourth proportional to 790.14, 1,090.29 and 440.83 is: 608.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.14 : 1,090.29 = 440.83 : x
  2. Step 2: Convert to fraction form
    790.14/1,090.29 = 440.83/x
  3. Step 3: Cross multiply
    790.14x = 1,090.29 × 440.83
  4. Step 4: Simplify right side
    790.14x = 480,632.54
  5. Step 5: Solve for x
    x = 480,632.54/790.14
  6. Step 6: Final answer
    x = 608.29

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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.