Home / 1,207.13-1,811.52-437.63

Finding the Fourth Proportional to 1,207.13, 1,811.52 and 437.63

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Solution

The fourth proportional to 1,207.13, 1,811.52 and 437.63 is: 656.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.13 : 1,811.52 = 437.63 : x
  2. Step 2: Convert to fraction form
    1,207.13/1,811.52 = 437.63/x
  3. Step 3: Cross multiply
    1,207.13x = 1,811.52 × 437.63
  4. Step 4: Simplify right side
    1,207.13x = 792,766.44
  5. Step 5: Solve for x
    x = 792,766.44/1,207.13
  6. Step 6: Final answer
    x = 656.74

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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.