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Finding the Fourth Proportional to 1,036.58, 1,553.90 and 670.28

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Solution

The fourth proportional to 1,036.58, 1,553.90 and 670.28 is: 1,004.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.58 : 1,553.90 = 670.28 : x
  2. Step 2: Convert to fraction form
    1,036.58/1,553.90 = 670.28/x
  3. Step 3: Cross multiply
    1,036.58x = 1,553.90 × 670.28
  4. Step 4: Simplify right side
    1,036.58x = 1,041,548.09
  5. Step 5: Solve for x
    x = 1,041,548.09/1,036.58
  6. Step 6: Final answer
    x = 1,004.79

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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.