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Finding the Fourth Proportional to 510.54, 704.46 and 314.10

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Solution

The fourth proportional to 510.54, 704.46 and 314.10 is: 433.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.54 : 704.46 = 314.10 : x
  2. Step 2: Convert to fraction form
    510.54/704.46 = 314.10/x
  3. Step 3: Cross multiply
    510.54x = 704.46 × 314.10
  4. Step 4: Simplify right side
    510.54x = 221,270.89
  5. Step 5: Solve for x
    x = 221,270.89/510.54
  6. Step 6: Final answer
    x = 433.41

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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.