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Finding the Fourth Proportional to 986.15, 1,479.63 and 790.94

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Solution

The fourth proportional to 986.15, 1,479.63 and 790.94 is: 1,186.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.15 : 1,479.63 = 790.94 : x
  2. Step 2: Convert to fraction form
    986.15/1,479.63 = 790.94/x
  3. Step 3: Cross multiply
    986.15x = 1,479.63 × 790.94
  4. Step 4: Simplify right side
    986.15x = 1,170,298.55
  5. Step 5: Solve for x
    x = 1,170,298.55/986.15
  6. Step 6: Final answer
    x = 1,186.73

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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.