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Finding the Fourth Proportional to 1,342.95, 1,852.86 and 783.05

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Solution

The fourth proportional to 1,342.95, 1,852.86 and 783.05 is: 1,080.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.95 : 1,852.86 = 783.05 : x
  2. Step 2: Convert to fraction form
    1,342.95/1,852.86 = 783.05/x
  3. Step 3: Cross multiply
    1,342.95x = 1,852.86 × 783.05
  4. Step 4: Simplify right side
    1,342.95x = 1,450,876.15
  5. Step 5: Solve for x
    x = 1,450,876.15/1,342.95
  6. Step 6: Final answer
    x = 1,080.36

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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.