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Finding the Fourth Proportional to 516.34, 711.84 and 437.34

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Solution

The fourth proportional to 516.34, 711.84 and 437.34 is: 602.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.34 : 711.84 = 437.34 : x
  2. Step 2: Convert to fraction form
    516.34/711.84 = 437.34/x
  3. Step 3: Cross multiply
    516.34x = 711.84 × 437.34
  4. Step 4: Simplify right side
    516.34x = 311,316.11
  5. Step 5: Solve for x
    x = 311,316.11/516.34
  6. Step 6: Final answer
    x = 602.93

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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.