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Finding the Fourth Proportional to 516.55, 712.85 and 339.39

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Solution

The fourth proportional to 516.55, 712.85 and 339.39 is: 468.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.55 : 712.85 = 339.39 : x
  2. Step 2: Convert to fraction form
    516.55/712.85 = 339.39/x
  3. Step 3: Cross multiply
    516.55x = 712.85 × 339.39
  4. Step 4: Simplify right side
    516.55x = 241,934.16
  5. Step 5: Solve for x
    x = 241,934.16/516.55
  6. Step 6: Final answer
    x = 468.37

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1.5x scale

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.