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Finding the Fourth Proportional to 523.55, 789.69 and 470.09

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Solution

The fourth proportional to 523.55, 789.69 and 470.09 is: 709.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.55 : 789.69 = 470.09 : x
  2. Step 2: Convert to fraction form
    523.55/789.69 = 470.09/x
  3. Step 3: Cross multiply
    523.55x = 789.69 × 470.09
  4. Step 4: Simplify right side
    523.55x = 371,221.42
  5. Step 5: Solve for x
    x = 371,221.42/523.55
  6. Step 6: Final answer
    x = 709.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.