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Finding the Fourth Proportional to 471.77, 707.95 and 321.84

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Solution

The fourth proportional to 471.77, 707.95 and 321.84 is: 482.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.77 : 707.95 = 321.84 : x
  2. Step 2: Convert to fraction form
    471.77/707.95 = 321.84/x
  3. Step 3: Cross multiply
    471.77x = 707.95 × 321.84
  4. Step 4: Simplify right side
    471.77x = 227,848.48
  5. Step 5: Solve for x
    x = 227,848.48/471.77
  6. Step 6: Final answer
    x = 482.96

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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.