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Finding the Fourth Proportional to 789.90, 1,090.16 and 458.26

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Solution

The fourth proportional to 789.90, 1,090.16 and 458.26 is: 632.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.90 : 1,090.16 = 458.26 : x
  2. Step 2: Convert to fraction form
    789.90/1,090.16 = 458.26/x
  3. Step 3: Cross multiply
    789.90x = 1,090.16 × 458.26
  4. Step 4: Simplify right side
    789.90x = 499,573.42
  5. Step 5: Solve for x
    x = 499,573.42/789.90
  6. Step 6: Final answer
    x = 632.45

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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.