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Finding the Fourth Proportional to 1,192.98, 1,788.51 and 509.46

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Solution

The fourth proportional to 1,192.98, 1,788.51 and 509.46 is: 763.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.98 : 1,788.51 = 509.46 : x
  2. Step 2: Convert to fraction form
    1,192.98/1,788.51 = 509.46/x
  3. Step 3: Cross multiply
    1,192.98x = 1,788.51 × 509.46
  4. Step 4: Simplify right side
    1,192.98x = 911,174.30
  5. Step 5: Solve for x
    x = 911,174.30/1,192.98
  6. Step 6: Final answer
    x = 763.78

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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.