Home / 1,034.28-1,551.83-456.75

Finding the Fourth Proportional to 1,034.28, 1,551.83 and 456.75

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Solution

The fourth proportional to 1,034.28, 1,551.83 and 456.75 is: 685.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.28 : 1,551.83 = 456.75 : x
  2. Step 2: Convert to fraction form
    1,034.28/1,551.83 = 456.75/x
  3. Step 3: Cross multiply
    1,034.28x = 1,551.83 × 456.75
  4. Step 4: Simplify right side
    1,034.28x = 708,796.07
  5. Step 5: Solve for x
    x = 708,796.07/1,034.28
  6. Step 6: Final answer
    x = 685.30

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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.