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Finding the Fourth Proportional to 510.96, 704.76 and 493.44

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Solution

The fourth proportional to 510.96, 704.76 and 493.44 is: 680.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.96 : 704.76 = 493.44 : x
  2. Step 2: Convert to fraction form
    510.96/704.76 = 493.44/x
  3. Step 3: Cross multiply
    510.96x = 704.76 × 493.44
  4. Step 4: Simplify right side
    510.96x = 347,756.77
  5. Step 5: Solve for x
    x = 347,756.77/510.96
  6. Step 6: Final answer
    x = 680.59

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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.