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Finding the Fourth Proportional to 684.88, 944.94 and 510.28

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Solution

The fourth proportional to 684.88, 944.94 and 510.28 is: 704.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.88 : 944.94 = 510.28 : x
  2. Step 2: Convert to fraction form
    684.88/944.94 = 510.28/x
  3. Step 3: Cross multiply
    684.88x = 944.94 × 510.28
  4. Step 4: Simplify right side
    684.88x = 482,183.98
  5. Step 5: Solve for x
    x = 482,183.98/684.88
  6. Step 6: Final answer
    x = 704.04

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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.