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Finding the Fourth Proportional to 1,036.43, 1,553.97 and 509.28

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Solution

The fourth proportional to 1,036.43, 1,553.97 and 509.28 is: 763.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.43 : 1,553.97 = 509.28 : x
  2. Step 2: Convert to fraction form
    1,036.43/1,553.97 = 509.28/x
  3. Step 3: Cross multiply
    1,036.43x = 1,553.97 × 509.28
  4. Step 4: Simplify right side
    1,036.43x = 791,405.84
  5. Step 5: Solve for x
    x = 791,405.84/1,036.43
  6. Step 6: Final answer
    x = 763.59

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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.