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Finding the Fourth Proportional to 789.80, 1,090.20 and 458.36

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Solution

The fourth proportional to 789.80, 1,090.20 and 458.36 is: 632.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.80 : 1,090.20 = 458.36 : x
  2. Step 2: Convert to fraction form
    789.80/1,090.20 = 458.36/x
  3. Step 3: Cross multiply
    789.80x = 1,090.20 × 458.36
  4. Step 4: Simplify right side
    789.80x = 499,704.07
  5. Step 5: Solve for x
    x = 499,704.07/789.80
  6. Step 6: Final answer
    x = 632.70

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1.5x scale

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.