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Finding the Fourth Proportional to 986.53, 1,478.05 and 523.31

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Solution

The fourth proportional to 986.53, 1,478.05 and 523.31 is: 784.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.53 : 1,478.05 = 523.31 : x
  2. Step 2: Convert to fraction form
    986.53/1,478.05 = 523.31/x
  3. Step 3: Cross multiply
    986.53x = 1,478.05 × 523.31
  4. Step 4: Simplify right side
    986.53x = 773,477.96
  5. Step 5: Solve for x
    x = 773,477.96/986.53
  6. Step 6: Final answer
    x = 784.04

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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.