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Finding the Fourth Proportional to 2,235.79, 3,353.55 and 774.82

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Solution

The fourth proportional to 2,235.79, 3,353.55 and 774.82 is: 1,162.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235.79 : 3,353.55 = 774.82 : x
  2. Step 2: Convert to fraction form
    2,235.79/3,353.55 = 774.82/x
  3. Step 3: Cross multiply
    2,235.79x = 3,353.55 × 774.82
  4. Step 4: Simplify right side
    2,235.79x = 2,598,397.61
  5. Step 5: Solve for x
    x = 2,598,397.61/2,235.79
  6. Step 6: Final answer
    x = 1,162.18

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