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Finding the Fourth Proportional to 1,086.77, 1,630.13 and 437.48

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Solution

The fourth proportional to 1,086.77, 1,630.13 and 437.48 is: 656.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.77 : 1,630.13 = 437.48 : x
  2. Step 2: Convert to fraction form
    1,086.77/1,630.13 = 437.48/x
  3. Step 3: Cross multiply
    1,086.77x = 1,630.13 × 437.48
  4. Step 4: Simplify right side
    1,086.77x = 713,157.91
  5. Step 5: Solve for x
    x = 713,157.91/1,086.77
  6. Step 6: Final answer
    x = 656.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.