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Finding the Fourth Proportional to 475.93, 713.53 and 329.77

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Solution

The fourth proportional to 475.93, 713.53 and 329.77 is: 494.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.93 : 713.53 = 329.77 : x
  2. Step 2: Convert to fraction form
    475.93/713.53 = 329.77/x
  3. Step 3: Cross multiply
    475.93x = 713.53 × 329.77
  4. Step 4: Simplify right side
    475.93x = 235,300.79
  5. Step 5: Solve for x
    x = 235,300.79/475.93
  6. Step 6: Final answer
    x = 494.40

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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.