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Finding the Fourth Proportional to 474.35, 711.79 and 257.94

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Solution

The fourth proportional to 474.35, 711.79 and 257.94 is: 387.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.35 : 711.79 = 257.94 : x
  2. Step 2: Convert to fraction form
    474.35/711.79 = 257.94/x
  3. Step 3: Cross multiply
    474.35x = 711.79 × 257.94
  4. Step 4: Simplify right side
    474.35x = 183,598.47
  5. Step 5: Solve for x
    x = 183,598.47/474.35
  6. Step 6: Final answer
    x = 387.06

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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.