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Finding the Fourth Proportional to 471.37, 703.68 and 409.88

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Solution

The fourth proportional to 471.37, 703.68 and 409.88 is: 611.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.37 : 703.68 = 409.88 : x
  2. Step 2: Convert to fraction form
    471.37/703.68 = 409.88/x
  3. Step 3: Cross multiply
    471.37x = 703.68 × 409.88
  4. Step 4: Simplify right side
    471.37x = 288,424.36
  5. Step 5: Solve for x
    x = 288,424.36/471.37
  6. Step 6: Final answer
    x = 611.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.