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Finding the Fourth Proportional to 790.07, 1,090.48 and 458.68

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Solution

The fourth proportional to 790.07, 1,090.48 and 458.68 is: 633.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.07 : 1,090.48 = 458.68 : x
  2. Step 2: Convert to fraction form
    790.07/1,090.48 = 458.68/x
  3. Step 3: Cross multiply
    790.07x = 1,090.48 × 458.68
  4. Step 4: Simplify right side
    790.07x = 500,181.37
  5. Step 5: Solve for x
    x = 500,181.37/790.07
  6. Step 6: Final answer
    x = 633.08

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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.