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Finding the Fourth Proportional to 516.57, 712.85 and 306.77

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Solution

The fourth proportional to 516.57, 712.85 and 306.77 is: 423.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.57 : 712.85 = 306.77 : x
  2. Step 2: Convert to fraction form
    516.57/712.85 = 306.77/x
  3. Step 3: Cross multiply
    516.57x = 712.85 × 306.77
  4. Step 4: Simplify right side
    516.57x = 218,675.90
  5. Step 5: Solve for x
    x = 218,675.90/516.57
  6. Step 6: Final answer
    x = 423.32

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Find fourth proportional to 258.29, 356.42 and 153.38
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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.