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Finding the Fourth Proportional to 789.64, 1,089.74 and 458.11

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Solution

The fourth proportional to 789.64, 1,089.74 and 458.11 is: 632.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.64 : 1,089.74 = 458.11 : x
  2. Step 2: Convert to fraction form
    789.64/1,089.74 = 458.11/x
  3. Step 3: Cross multiply
    789.64x = 1,089.74 × 458.11
  4. Step 4: Simplify right side
    789.64x = 499,220.79
  5. Step 5: Solve for x
    x = 499,220.79/789.64
  6. Step 6: Final answer
    x = 632.21

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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.