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Finding the Fourth Proportional to 514.57, 711.26 and 384.79

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Solution

The fourth proportional to 514.57, 711.26 and 384.79 is: 531.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.57 : 711.26 = 384.79 : x
  2. Step 2: Convert to fraction form
    514.57/711.26 = 384.79/x
  3. Step 3: Cross multiply
    514.57x = 711.26 × 384.79
  4. Step 4: Simplify right side
    514.57x = 273,685.74
  5. Step 5: Solve for x
    x = 273,685.74/514.57
  6. Step 6: Final answer
    x = 531.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.