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Finding the Fourth Proportional to 1,477.64, 2,216.46 and 437.65

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Solution

The fourth proportional to 1,477.64, 2,216.46 and 437.65 is: 656.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.64 : 2,216.46 = 437.65 : x
  2. Step 2: Convert to fraction form
    1,477.64/2,216.46 = 437.65/x
  3. Step 3: Cross multiply
    1,477.64x = 2,216.46 × 437.65
  4. Step 4: Simplify right side
    1,477.64x = 970,020.45
  5. Step 5: Solve for x
    x = 970,020.45/1,477.64
  6. Step 6: Final answer
    x = 656.47

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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.