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Finding the Fourth Proportional to 986.56, 1,479.85 and 256.14

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Solution

The fourth proportional to 986.56, 1,479.85 and 256.14 is: 384.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.56 : 1,479.85 = 256.14 : x
  2. Step 2: Convert to fraction form
    986.56/1,479.85 = 256.14/x
  3. Step 3: Cross multiply
    986.56x = 1,479.85 × 256.14
  4. Step 4: Simplify right side
    986.56x = 379,048.14
  5. Step 5: Solve for x
    x = 379,048.14/986.56
  6. Step 6: Final answer
    x = 384.21

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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.