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Finding the Fourth Proportional to 990.12, 1,476.58 and 976.89

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Solution

The fourth proportional to 990.12, 1,476.58 and 976.89 is: 1,456.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.12 : 1,476.58 = 976.89 : x
  2. Step 2: Convert to fraction form
    990.12/1,476.58 = 976.89/x
  3. Step 3: Cross multiply
    990.12x = 1,476.58 × 976.89
  4. Step 4: Simplify right side
    990.12x = 1,442,456.24
  5. Step 5: Solve for x
    x = 1,442,456.24/990.12
  6. Step 6: Final answer
    x = 1,456.85

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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.