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Finding the Fourth Proportional to 1,670.45, 2,505.61 and 437.85

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Solution

The fourth proportional to 1,670.45, 2,505.61 and 437.85 is: 656.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.45 : 2,505.61 = 437.85 : x
  2. Step 2: Convert to fraction form
    1,670.45/2,505.61 = 437.85/x
  3. Step 3: Cross multiply
    1,670.45x = 2,505.61 × 437.85
  4. Step 4: Simplify right side
    1,670.45x = 1,097,080.24
  5. Step 5: Solve for x
    x = 1,097,080.24/1,670.45
  6. Step 6: Final answer
    x = 656.76

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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.