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Finding the Fourth Proportional to 769.53, 1,061.96 and 420.22

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Solution

The fourth proportional to 769.53, 1,061.96 and 420.22 is: 579.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.53 : 1,061.96 = 420.22 : x
  2. Step 2: Convert to fraction form
    769.53/1,061.96 = 420.22/x
  3. Step 3: Cross multiply
    769.53x = 1,061.96 × 420.22
  4. Step 4: Simplify right side
    769.53x = 446,256.83
  5. Step 5: Solve for x
    x = 446,256.83/769.53
  6. Step 6: Final answer
    x = 579.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.