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Finding the Fourth Proportional to 769.56, 1,153.44 and 525.68

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Solution

The fourth proportional to 769.56, 1,153.44 and 525.68 is: 787.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.56 : 1,153.44 = 525.68 : x
  2. Step 2: Convert to fraction form
    769.56/1,153.44 = 525.68/x
  3. Step 3: Cross multiply
    769.56x = 1,153.44 × 525.68
  4. Step 4: Simplify right side
    769.56x = 606,340.34
  5. Step 5: Solve for x
    x = 606,340.34/769.56
  6. Step 6: Final answer
    x = 787.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.