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Finding the Fourth Proportional to 512.73, 704.70 and 498.15

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Solution

The fourth proportional to 512.73, 704.70 and 498.15 is: 684.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.73 : 704.70 = 498.15 : x
  2. Step 2: Convert to fraction form
    512.73/704.70 = 498.15/x
  3. Step 3: Cross multiply
    512.73x = 704.70 × 498.15
  4. Step 4: Simplify right side
    512.73x = 351,046.31
  5. Step 5: Solve for x
    x = 351,046.31/512.73
  6. Step 6: Final answer
    x = 684.66

Related Problems

Find fourth proportional to 256.37, 352.35 and 249.08
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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.