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Finding the Fourth Proportional to 1,036.28, 1,553.93 and 377.70

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Solution

The fourth proportional to 1,036.28, 1,553.93 and 377.70 is: 566.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.28 : 1,553.93 = 377.70 : x
  2. Step 2: Convert to fraction form
    1,036.28/1,553.93 = 377.70/x
  3. Step 3: Cross multiply
    1,036.28x = 1,553.93 × 377.70
  4. Step 4: Simplify right side
    1,036.28x = 586,911.59
  5. Step 5: Solve for x
    x = 586,911.59/1,036.28
  6. Step 6: Final answer
    x = 566.36

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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.