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Finding the Fourth Proportional to 474.89, 707.84 and 459.96

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Solution

The fourth proportional to 474.89, 707.84 and 459.96 is: 685.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.89 : 707.84 = 459.96 : x
  2. Step 2: Convert to fraction form
    474.89/707.84 = 459.96/x
  3. Step 3: Cross multiply
    474.89x = 707.84 × 459.96
  4. Step 4: Simplify right side
    474.89x = 325,575.79
  5. Step 5: Solve for x
    x = 325,575.79/474.89
  6. Step 6: Final answer
    x = 685.59

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