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Finding the Fourth Proportional to 514.91, 772.43 and 271.45

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Solution

The fourth proportional to 514.91, 772.43 and 271.45 is: 407.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.91 : 772.43 = 271.45 : x
  2. Step 2: Convert to fraction form
    514.91/772.43 = 271.45/x
  3. Step 3: Cross multiply
    514.91x = 772.43 × 271.45
  4. Step 4: Simplify right side
    514.91x = 209,676.12
  5. Step 5: Solve for x
    x = 209,676.12/514.91
  6. Step 6: Final answer
    x = 407.21

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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.