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Finding the Fourth Proportional to 986.56, 1,360.80 and 776.43

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Solution

The fourth proportional to 986.56, 1,360.80 and 776.43 is: 1,070.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.56 : 1,360.80 = 776.43 : x
  2. Step 2: Convert to fraction form
    986.56/1,360.80 = 776.43/x
  3. Step 3: Cross multiply
    986.56x = 1,360.80 × 776.43
  4. Step 4: Simplify right side
    986.56x = 1,056,565.94
  5. Step 5: Solve for x
    x = 1,056,565.94/986.56
  6. Step 6: Final answer
    x = 1,070.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.