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Finding the Fourth Proportional to 986.82, 1,480.25 and 256.47

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Solution

The fourth proportional to 986.82, 1,480.25 and 256.47 is: 384.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.82 : 1,480.25 = 256.47 : x
  2. Step 2: Convert to fraction form
    986.82/1,480.25 = 256.47/x
  3. Step 3: Cross multiply
    986.82x = 1,480.25 × 256.47
  4. Step 4: Simplify right side
    986.82x = 379,639.72
  5. Step 5: Solve for x
    x = 379,639.72/986.82
  6. Step 6: Final answer
    x = 384.71

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1.5x scale

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.