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Finding the Fourth Proportional to 1,200.74, 1,798.35 and 761.96

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Solution

The fourth proportional to 1,200.74, 1,798.35 and 761.96 is: 1,141.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.74 : 1,798.35 = 761.96 : x
  2. Step 2: Convert to fraction form
    1,200.74/1,798.35 = 761.96/x
  3. Step 3: Cross multiply
    1,200.74x = 1,798.35 × 761.96
  4. Step 4: Simplify right side
    1,200.74x = 1,370,261.77
  5. Step 5: Solve for x
    x = 1,370,261.77/1,200.74
  6. Step 6: Final answer
    x = 1,141.19

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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.