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Finding the Fourth Proportional to 790.27, 1,090.68 and 458.80

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Solution

The fourth proportional to 790.27, 1,090.68 and 458.80 is: 633.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.27 : 1,090.68 = 458.80 : x
  2. Step 2: Convert to fraction form
    790.27/1,090.68 = 458.80/x
  3. Step 3: Cross multiply
    790.27x = 1,090.68 × 458.80
  4. Step 4: Simplify right side
    790.27x = 500,403.98
  5. Step 5: Solve for x
    x = 500,403.98/790.27
  6. Step 6: Final answer
    x = 633.21

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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.