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Finding the Fourth Proportional to 516.21, 711.75 and 437.40

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Solution

The fourth proportional to 516.21, 711.75 and 437.40 is: 603.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.21 : 711.75 = 437.40 : x
  2. Step 2: Convert to fraction form
    516.21/711.75 = 437.40/x
  3. Step 3: Cross multiply
    516.21x = 711.75 × 437.40
  4. Step 4: Simplify right side
    516.21x = 311,319.45
  5. Step 5: Solve for x
    x = 311,319.45/516.21
  6. Step 6: Final answer
    x = 603.09

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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.