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Finding the Fourth Proportional to 985.26, 1,478.14 and 399.96

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Solution

The fourth proportional to 985.26, 1,478.14 and 399.96 is: 600.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.26 : 1,478.14 = 399.96 : x
  2. Step 2: Convert to fraction form
    985.26/1,478.14 = 399.96/x
  3. Step 3: Cross multiply
    985.26x = 1,478.14 × 399.96
  4. Step 4: Simplify right side
    985.26x = 591,196.87
  5. Step 5: Solve for x
    x = 591,196.87/985.26
  6. Step 6: Final answer
    x = 600.04

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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.