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Finding the Fourth Proportional to 985.68, 1,479.13 and 547.27

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Solution

The fourth proportional to 985.68, 1,479.13 and 547.27 is: 821.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.68 : 1,479.13 = 547.27 : x
  2. Step 2: Convert to fraction form
    985.68/1,479.13 = 547.27/x
  3. Step 3: Cross multiply
    985.68x = 1,479.13 × 547.27
  4. Step 4: Simplify right side
    985.68x = 809,478.41
  5. Step 5: Solve for x
    x = 809,478.41/985.68
  6. Step 6: Final answer
    x = 821.24

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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.