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Finding the Fourth Proportional to 990.12, 1,476.41 and 923.10

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Solution

The fourth proportional to 990.12, 1,476.41 and 923.10 is: 1,376.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.12 : 1,476.41 = 923.10 : x
  2. Step 2: Convert to fraction form
    990.12/1,476.41 = 923.10/x
  3. Step 3: Cross multiply
    990.12x = 1,476.41 × 923.10
  4. Step 4: Simplify right side
    990.12x = 1,362,874.07
  5. Step 5: Solve for x
    x = 1,362,874.07/990.12
  6. Step 6: Final answer
    x = 1,376.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.