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Finding the Fourth Proportional to 789.68, 1,089.66 and 458.20

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Solution

The fourth proportional to 789.68, 1,089.66 and 458.20 is: 632.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.68 : 1,089.66 = 458.20 : x
  2. Step 2: Convert to fraction form
    789.68/1,089.66 = 458.20/x
  3. Step 3: Cross multiply
    789.68x = 1,089.66 × 458.20
  4. Step 4: Simplify right side
    789.68x = 499,282.21
  5. Step 5: Solve for x
    x = 499,282.21/789.68
  6. Step 6: Final answer
    x = 632.26

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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.