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Finding the Fourth Proportional to 1,193.16, 1,790.43 and 499.77

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Solution

The fourth proportional to 1,193.16, 1,790.43 and 499.77 is: 749.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.16 : 1,790.43 = 499.77 : x
  2. Step 2: Convert to fraction form
    1,193.16/1,790.43 = 499.77/x
  3. Step 3: Cross multiply
    1,193.16x = 1,790.43 × 499.77
  4. Step 4: Simplify right side
    1,193.16x = 894,800.51
  5. Step 5: Solve for x
    x = 894,800.51/1,193.16
  6. Step 6: Final answer
    x = 749.94

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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.