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Finding the Fourth Proportional to 983.66, 1,475.65 and 490.09

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Solution

The fourth proportional to 983.66, 1,475.65 and 490.09 is: 735.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.66 : 1,475.65 = 490.09 : x
  2. Step 2: Convert to fraction form
    983.66/1,475.65 = 490.09/x
  3. Step 3: Cross multiply
    983.66x = 1,475.65 × 490.09
  4. Step 4: Simplify right side
    983.66x = 723,201.31
  5. Step 5: Solve for x
    x = 723,201.31/983.66
  6. Step 6: Final answer
    x = 735.21

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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.