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Finding the Fourth Proportional to 985.41, 1,478.09 and 400.40

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Solution

The fourth proportional to 985.41, 1,478.09 and 400.40 is: 600.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.41 : 1,478.09 = 400.40 : x
  2. Step 2: Convert to fraction form
    985.41/1,478.09 = 400.40/x
  3. Step 3: Cross multiply
    985.41x = 1,478.09 × 400.40
  4. Step 4: Simplify right side
    985.41x = 591,833.20
  5. Step 5: Solve for x
    x = 591,833.20/985.41
  6. Step 6: Final answer
    x = 600.59

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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.