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Finding the Fourth Proportional to 1,192.48, 1,788.72 and 499.64

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Solution

The fourth proportional to 1,192.48, 1,788.72 and 499.64 is: 749.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.48 : 1,788.72 = 499.64 : x
  2. Step 2: Convert to fraction form
    1,192.48/1,788.72 = 499.64/x
  3. Step 3: Cross multiply
    1,192.48x = 1,788.72 × 499.64
  4. Step 4: Simplify right side
    1,192.48x = 893,716.06
  5. Step 5: Solve for x
    x = 893,716.06/1,192.48
  6. Step 6: Final answer
    x = 749.46

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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.