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Finding the Fourth Proportional to 789.36, 1,089.60 and 527.76

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Solution

The fourth proportional to 789.36, 1,089.60 and 527.76 is: 728.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.36 : 1,089.60 = 527.76 : x
  2. Step 2: Convert to fraction form
    789.36/1,089.60 = 527.76/x
  3. Step 3: Cross multiply
    789.36x = 1,089.60 × 527.76
  4. Step 4: Simplify right side
    789.36x = 575,047.30
  5. Step 5: Solve for x
    x = 575,047.30/789.36
  6. Step 6: Final answer
    x = 728.50

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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.