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Finding the Fourth Proportional to 516.78, 713.32 and 330.77

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Solution

The fourth proportional to 516.78, 713.32 and 330.77 is: 456.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.78 : 713.32 = 330.77 : x
  2. Step 2: Convert to fraction form
    516.78/713.32 = 330.77/x
  3. Step 3: Cross multiply
    516.78x = 713.32 × 330.77
  4. Step 4: Simplify right side
    516.78x = 235,941.80
  5. Step 5: Solve for x
    x = 235,941.80/516.78
  6. Step 6: Final answer
    x = 456.56

Related Problems

Find fourth proportional to 258.39, 356.66 and 165.38
Half scale
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Double scale
Find fourth proportional to 517.78, 714.70 and 331.77
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.