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Finding the Fourth Proportional to 516.08, 710.50 and 447.02

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Solution

The fourth proportional to 516.08, 710.50 and 447.02 is: 615.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.08 : 710.50 = 447.02 : x
  2. Step 2: Convert to fraction form
    516.08/710.50 = 447.02/x
  3. Step 3: Cross multiply
    516.08x = 710.50 × 447.02
  4. Step 4: Simplify right side
    516.08x = 317,607.71
  5. Step 5: Solve for x
    x = 317,607.71/516.08
  6. Step 6: Final answer
    x = 615.42

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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.