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Finding the Fourth Proportional to 476.72, 713.82 and 259.84

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Solution

The fourth proportional to 476.72, 713.82 and 259.84 is: 389.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.72 : 713.82 = 259.84 : x
  2. Step 2: Convert to fraction form
    476.72/713.82 = 259.84/x
  3. Step 3: Cross multiply
    476.72x = 713.82 × 259.84
  4. Step 4: Simplify right side
    476.72x = 185,475.42
  5. Step 5: Solve for x
    x = 185,475.42/476.72
  6. Step 6: Final answer
    x = 389.07

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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.