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Finding the Fourth Proportional to 789.54, 1,089.62 and 475.15

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Solution

The fourth proportional to 789.54, 1,089.62 and 475.15 is: 655.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.54 : 1,089.62 = 475.15 : x
  2. Step 2: Convert to fraction form
    789.54/1,089.62 = 475.15/x
  3. Step 3: Cross multiply
    789.54x = 1,089.62 × 475.15
  4. Step 4: Simplify right side
    789.54x = 517,732.94
  5. Step 5: Solve for x
    x = 517,732.94/789.54
  6. Step 6: Final answer
    x = 655.74

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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.