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Finding the Fourth Proportional to 1,477.86, 2,216.80 and 437.88

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Solution

The fourth proportional to 1,477.86, 2,216.80 and 437.88 is: 656.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.86 : 2,216.80 = 437.88 : x
  2. Step 2: Convert to fraction form
    1,477.86/2,216.80 = 437.88/x
  3. Step 3: Cross multiply
    1,477.86x = 2,216.80 × 437.88
  4. Step 4: Simplify right side
    1,477.86x = 970,692.38
  5. Step 5: Solve for x
    x = 970,692.38/1,477.86
  6. Step 6: Final answer
    x = 656.82

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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.