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Finding the Fourth Proportional to 789.68, 1,089.42 and 474.86

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Solution

The fourth proportional to 789.68, 1,089.42 and 474.86 is: 655.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.68 : 1,089.42 = 474.86 : x
  2. Step 2: Convert to fraction form
    789.68/1,089.42 = 474.86/x
  3. Step 3: Cross multiply
    789.68x = 1,089.42 × 474.86
  4. Step 4: Simplify right side
    789.68x = 517,321.98
  5. Step 5: Solve for x
    x = 517,321.98/789.68
  6. Step 6: Final answer
    x = 655.10

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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.