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Finding the Fourth Proportional to 789.60, 1,090.07 and 457.98

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Solution

The fourth proportional to 789.60, 1,090.07 and 457.98 is: 632.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.60 : 1,090.07 = 457.98 : x
  2. Step 2: Convert to fraction form
    789.60/1,090.07 = 457.98/x
  3. Step 3: Cross multiply
    789.60x = 1,090.07 × 457.98
  4. Step 4: Simplify right side
    789.60x = 499,227.97
  5. Step 5: Solve for x
    x = 499,227.97/789.60
  6. Step 6: Final answer
    x = 632.25

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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.