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Finding the Fourth Proportional to 1,477.81, 2,216.41 and 437.82

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Solution

The fourth proportional to 1,477.81, 2,216.41 and 437.82 is: 656.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.81 : 2,216.41 = 437.82 : x
  2. Step 2: Convert to fraction form
    1,477.81/2,216.41 = 437.82/x
  3. Step 3: Cross multiply
    1,477.81x = 2,216.41 × 437.82
  4. Step 4: Simplify right side
    1,477.81x = 970,396.98
  5. Step 5: Solve for x
    x = 970,396.98/1,477.81
  6. Step 6: Final answer
    x = 656.64

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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.