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Finding the Fourth Proportional to 510.92, 704.66 and 451.97

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Solution

The fourth proportional to 510.92, 704.66 and 451.97 is: 623.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.92 : 704.66 = 451.97 : x
  2. Step 2: Convert to fraction form
    510.92/704.66 = 451.97/x
  3. Step 3: Cross multiply
    510.92x = 704.66 × 451.97
  4. Step 4: Simplify right side
    510.92x = 318,482.79
  5. Step 5: Solve for x
    x = 318,482.79/510.92
  6. Step 6: Final answer
    x = 623.36

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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.