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Finding the Fourth Proportional to 514.95, 711.21 and 348.87

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Solution

The fourth proportional to 514.95, 711.21 and 348.87 is: 481.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.95 : 711.21 = 348.87 : x
  2. Step 2: Convert to fraction form
    514.95/711.21 = 348.87/x
  3. Step 3: Cross multiply
    514.95x = 711.21 × 348.87
  4. Step 4: Simplify right side
    514.95x = 248,119.83
  5. Step 5: Solve for x
    x = 248,119.83/514.95
  6. Step 6: Final answer
    x = 481.83

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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.