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Finding the Fourth Proportional to 510.73, 704.55 and 314.13

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Solution

The fourth proportional to 510.73, 704.55 and 314.13 is: 433.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.73 : 704.55 = 314.13 : x
  2. Step 2: Convert to fraction form
    510.73/704.55 = 314.13/x
  3. Step 3: Cross multiply
    510.73x = 704.55 × 314.13
  4. Step 4: Simplify right side
    510.73x = 221,320.29
  5. Step 5: Solve for x
    x = 221,320.29/510.73
  6. Step 6: Final answer
    x = 433.34

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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.