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Finding the Fourth Proportional to 863.94, 1,300.77 and 761.88

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Solution

The fourth proportional to 863.94, 1,300.77 and 761.88 is: 1,147.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.94 : 1,300.77 = 761.88 : x
  2. Step 2: Convert to fraction form
    863.94/1,300.77 = 761.88/x
  3. Step 3: Cross multiply
    863.94x = 1,300.77 × 761.88
  4. Step 4: Simplify right side
    863.94x = 991,030.65
  5. Step 5: Solve for x
    x = 991,030.65/863.94
  6. Step 6: Final answer
    x = 1,147.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.