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Finding the Fourth Proportional to 1,036.69, 1,433.34 and 990.79

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Solution

The fourth proportional to 1,036.69, 1,433.34 and 990.79 is: 1,369.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.69 : 1,433.34 = 990.79 : x
  2. Step 2: Convert to fraction form
    1,036.69/1,433.34 = 990.79/x
  3. Step 3: Cross multiply
    1,036.69x = 1,433.34 × 990.79
  4. Step 4: Simplify right side
    1,036.69x = 1,420,135.36
  5. Step 5: Solve for x
    x = 1,420,135.36/1,036.69
  6. Step 6: Final answer
    x = 1,369.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.