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Finding the Fourth Proportional to 513.14, 702.68 and 492.48

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Solution

The fourth proportional to 513.14, 702.68 and 492.48 is: 674.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.14 : 702.68 = 492.48 : x
  2. Step 2: Convert to fraction form
    513.14/702.68 = 492.48/x
  3. Step 3: Cross multiply
    513.14x = 702.68 × 492.48
  4. Step 4: Simplify right side
    513.14x = 346,053.38
  5. Step 5: Solve for x
    x = 346,053.38/513.14
  6. Step 6: Final answer
    x = 674.39

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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.