Home / 1,736.40-2,604.57-437.86

Finding the Fourth Proportional to 1,736.40, 2,604.57 and 437.86

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Solution

The fourth proportional to 1,736.40, 2,604.57 and 437.86 is: 656.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.40 : 2,604.57 = 437.86 : x
  2. Step 2: Convert to fraction form
    1,736.40/2,604.57 = 437.86/x
  3. Step 3: Cross multiply
    1,736.40x = 2,604.57 × 437.86
  4. Step 4: Simplify right side
    1,736.40x = 1,140,437.02
  5. Step 5: Solve for x
    x = 1,140,437.02/1,736.40
  6. Step 6: Final answer
    x = 656.78

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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.