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Finding the Fourth Proportional to 986.66, 1,479.06 and 782.54

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Solution

The fourth proportional to 986.66, 1,479.06 and 782.54 is: 1,173.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.66 : 1,479.06 = 782.54 : x
  2. Step 2: Convert to fraction form
    986.66/1,479.06 = 782.54/x
  3. Step 3: Cross multiply
    986.66x = 1,479.06 × 782.54
  4. Step 4: Simplify right side
    986.66x = 1,157,416.22
  5. Step 5: Solve for x
    x = 1,157,416.22/986.66
  6. Step 6: Final answer
    x = 1,173.07

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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.