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Finding the Fourth Proportional to 512.76, 770.37 and 476.31

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Solution

The fourth proportional to 512.76, 770.37 and 476.31 is: 715.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.76 : 770.37 = 476.31 : x
  2. Step 2: Convert to fraction form
    512.76/770.37 = 476.31/x
  3. Step 3: Cross multiply
    512.76x = 770.37 × 476.31
  4. Step 4: Simplify right side
    512.76x = 366,934.93
  5. Step 5: Solve for x
    x = 366,934.93/512.76
  6. Step 6: Final answer
    x = 715.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.