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Finding the Fourth Proportional to 1,342.32, 2,011.56 and 765.36

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Solution

The fourth proportional to 1,342.32, 2,011.56 and 765.36 is: 1,146.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.32 : 2,011.56 = 765.36 : x
  2. Step 2: Convert to fraction form
    1,342.32/2,011.56 = 765.36/x
  3. Step 3: Cross multiply
    1,342.32x = 2,011.56 × 765.36
  4. Step 4: Simplify right side
    1,342.32x = 1,539,567.56
  5. Step 5: Solve for x
    x = 1,539,567.56/1,342.32
  6. Step 6: Final answer
    x = 1,146.95

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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.