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Finding the Fourth Proportional to 986.80, 1,360.92 and 790.24

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Solution

The fourth proportional to 986.80, 1,360.92 and 790.24 is: 1,089.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.80 : 1,360.92 = 790.24 : x
  2. Step 2: Convert to fraction form
    986.80/1,360.92 = 790.24/x
  3. Step 3: Cross multiply
    986.80x = 1,360.92 × 790.24
  4. Step 4: Simplify right side
    986.80x = 1,075,453.42
  5. Step 5: Solve for x
    x = 1,075,453.42/986.80
  6. Step 6: Final answer
    x = 1,089.84

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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.