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Finding the Fourth Proportional to 986.02, 1,478.36 and 485.63

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Solution

The fourth proportional to 986.02, 1,478.36 and 485.63 is: 728.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.02 : 1,478.36 = 485.63 : x
  2. Step 2: Convert to fraction form
    986.02/1,478.36 = 485.63/x
  3. Step 3: Cross multiply
    986.02x = 1,478.36 × 485.63
  4. Step 4: Simplify right side
    986.02x = 717,942.25
  5. Step 5: Solve for x
    x = 717,942.25/986.02
  6. Step 6: Final answer
    x = 728.12

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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.