Home / 1,209.52-1,811.58-591.76

Finding the Fourth Proportional to 1,209.52, 1,811.58 and 591.76

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Solution

The fourth proportional to 1,209.52, 1,811.58 and 591.76 is: 886.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.52 : 1,811.58 = 591.76 : x
  2. Step 2: Convert to fraction form
    1,209.52/1,811.58 = 591.76/x
  3. Step 3: Cross multiply
    1,209.52x = 1,811.58 × 591.76
  4. Step 4: Simplify right side
    1,209.52x = 1,072,020.58
  5. Step 5: Solve for x
    x = 1,072,020.58/1,209.52
  6. Step 6: Final answer
    x = 886.32

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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.