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Finding the Fourth Proportional to 789.47, 1,089.41 and 474.78

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Solution

The fourth proportional to 789.47, 1,089.41 and 474.78 is: 655.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.47 : 1,089.41 = 474.78 : x
  2. Step 2: Convert to fraction form
    789.47/1,089.41 = 474.78/x
  3. Step 3: Cross multiply
    789.47x = 1,089.41 × 474.78
  4. Step 4: Simplify right side
    789.47x = 517,230.08
  5. Step 5: Solve for x
    x = 517,230.08/789.47
  6. Step 6: Final answer
    x = 655.16

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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.