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Finding the Fourth Proportional to 789.74, 1,089.61 and 527.50

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Solution

The fourth proportional to 789.74, 1,089.61 and 527.50 is: 727.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.74 : 1,089.61 = 527.50 : x
  2. Step 2: Convert to fraction form
    789.74/1,089.61 = 527.50/x
  3. Step 3: Cross multiply
    789.74x = 1,089.61 × 527.50
  4. Step 4: Simplify right side
    789.74x = 574,769.28
  5. Step 5: Solve for x
    x = 574,769.28/789.74
  6. Step 6: Final answer
    x = 727.80

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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.