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Finding the Fourth Proportional to 986.63, 1,480.08 and 781.58

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Solution

The fourth proportional to 986.63, 1,480.08 and 781.58 is: 1,172.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.63 : 1,480.08 = 781.58 : x
  2. Step 2: Convert to fraction form
    986.63/1,480.08 = 781.58/x
  3. Step 3: Cross multiply
    986.63x = 1,480.08 × 781.58
  4. Step 4: Simplify right side
    986.63x = 1,156,800.93
  5. Step 5: Solve for x
    x = 1,156,800.93/986.63
  6. Step 6: Final answer
    x = 1,172.48

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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.