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Finding the Fourth Proportional to 983.63, 1,475.45 and 923.49

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Solution

The fourth proportional to 983.63, 1,475.45 and 923.49 is: 1,385.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.63 : 1,475.45 = 923.49 : x
  2. Step 2: Convert to fraction form
    983.63/1,475.45 = 923.49/x
  3. Step 3: Cross multiply
    983.63x = 1,475.45 × 923.49
  4. Step 4: Simplify right side
    983.63x = 1,362,558.14
  5. Step 5: Solve for x
    x = 1,362,558.14/983.63
  6. Step 6: Final answer
    x = 1,385.23

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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.