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Finding the Fourth Proportional to 513.14, 706.20 and 491.28

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Solution

The fourth proportional to 513.14, 706.20 and 491.28 is: 676.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.14 : 706.20 = 491.28 : x
  2. Step 2: Convert to fraction form
    513.14/706.20 = 491.28/x
  3. Step 3: Cross multiply
    513.14x = 706.20 × 491.28
  4. Step 4: Simplify right side
    513.14x = 346,941.94
  5. Step 5: Solve for x
    x = 346,941.94/513.14
  6. Step 6: Final answer
    x = 676.12

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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.