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Finding the Fourth Proportional to 985.40, 1,478.10 and 809.23

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Solution

The fourth proportional to 985.40, 1,478.10 and 809.23 is: 1,213.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.40 : 1,478.10 = 809.23 : x
  2. Step 2: Convert to fraction form
    985.40/1,478.10 = 809.23/x
  3. Step 3: Cross multiply
    985.40x = 1,478.10 × 809.23
  4. Step 4: Simplify right side
    985.40x = 1,196,115.47
  5. Step 5: Solve for x
    x = 1,196,115.47/985.40
  6. Step 6: Final answer
    x = 1,213.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.