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Finding the Fourth Proportional to 985.74, 1,478.59 and 255.29

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Solution

The fourth proportional to 985.74, 1,478.59 and 255.29 is: 382.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.74 : 1,478.59 = 255.29 : x
  2. Step 2: Convert to fraction form
    985.74/1,478.59 = 255.29/x
  3. Step 3: Cross multiply
    985.74x = 1,478.59 × 255.29
  4. Step 4: Simplify right side
    985.74x = 377,467.96
  5. Step 5: Solve for x
    x = 377,467.96/985.74
  6. Step 6: Final answer
    x = 382.93

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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.