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Finding the Fourth Proportional to 676.80, 934.02 and 510.72

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Solution

The fourth proportional to 676.80, 934.02 and 510.72 is: 704.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.80 : 934.02 = 510.72 : x
  2. Step 2: Convert to fraction form
    676.80/934.02 = 510.72/x
  3. Step 3: Cross multiply
    676.80x = 934.02 × 510.72
  4. Step 4: Simplify right side
    676.80x = 477,022.69
  5. Step 5: Solve for x
    x = 477,022.69/676.80
  6. Step 6: Final answer
    x = 704.82

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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.