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Finding the Fourth Proportional to 790.45, 1,090.84 and 458.89

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Solution

The fourth proportional to 790.45, 1,090.84 and 458.89 is: 633.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.45 : 1,090.84 = 458.89 : x
  2. Step 2: Convert to fraction form
    790.45/1,090.84 = 458.89/x
  3. Step 3: Cross multiply
    790.45x = 1,090.84 × 458.89
  4. Step 4: Simplify right side
    790.45x = 500,575.57
  5. Step 5: Solve for x
    x = 500,575.57/790.45
  6. Step 6: Final answer
    x = 633.28

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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.