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Finding the Fourth Proportional to 516.75, 712.95 and 295.68

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Solution

The fourth proportional to 516.75, 712.95 and 295.68 is: 407.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.75 : 712.95 = 295.68 : x
  2. Step 2: Convert to fraction form
    516.75/712.95 = 295.68/x
  3. Step 3: Cross multiply
    516.75x = 712.95 × 295.68
  4. Step 4: Simplify right side
    516.75x = 210,805.06
  5. Step 5: Solve for x
    x = 210,805.06/516.75
  6. Step 6: Final answer
    x = 407.94

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Find fourth proportional to 258.38, 356.48 and 147.84
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Similar ratio
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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.