Home / 1,193.12-1,790.10-543.92

Finding the Fourth Proportional to 1,193.12, 1,790.10 and 543.92

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Solution

The fourth proportional to 1,193.12, 1,790.10 and 543.92 is: 816.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.12 : 1,790.10 = 543.92 : x
  2. Step 2: Convert to fraction form
    1,193.12/1,790.10 = 543.92/x
  3. Step 3: Cross multiply
    1,193.12x = 1,790.10 × 543.92
  4. Step 4: Simplify right side
    1,193.12x = 973,671.19
  5. Step 5: Solve for x
    x = 973,671.19/1,193.12
  6. Step 6: Final answer
    x = 816.07

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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.