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Finding the Fourth Proportional to 789.26, 1,089.76 and 509.65

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Solution

The fourth proportional to 789.26, 1,089.76 and 509.65 is: 703.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.26 : 1,089.76 = 509.65 : x
  2. Step 2: Convert to fraction form
    789.26/1,089.76 = 509.65/x
  3. Step 3: Cross multiply
    789.26x = 1,089.76 × 509.65
  4. Step 4: Simplify right side
    789.26x = 555,396.18
  5. Step 5: Solve for x
    x = 555,396.18/789.26
  6. Step 6: Final answer
    x = 703.69

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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.