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Finding the Fourth Proportional to 510.23, 704.16 and 313.73

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Solution

The fourth proportional to 510.23, 704.16 and 313.73 is: 432.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.23 : 704.16 = 313.73 : x
  2. Step 2: Convert to fraction form
    510.23/704.16 = 313.73/x
  3. Step 3: Cross multiply
    510.23x = 704.16 × 313.73
  4. Step 4: Simplify right side
    510.23x = 220,916.12
  5. Step 5: Solve for x
    x = 220,916.12/510.23
  6. Step 6: Final answer
    x = 432.97

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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.