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Finding the Fourth Proportional to 516.07, 770.35 and 478

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Solution

The fourth proportional to 516.07, 770.35 and 478 is: 713.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.07 : 770.35 = 478 : x
  2. Step 2: Convert to fraction form
    516.07/770.35 = 478/x
  3. Step 3: Cross multiply
    516.07x = 770.35 × 478
  4. Step 4: Simplify right side
    516.07x = 368,227.30
  5. Step 5: Solve for x
    x = 368,227.30/516.07
  6. Step 6: Final answer
    x = 713.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.