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Finding the Fourth Proportional to 510.97, 704.55 and 419.75

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Solution

The fourth proportional to 510.97, 704.55 and 419.75 is: 578.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.97 : 704.55 = 419.75 : x
  2. Step 2: Convert to fraction form
    510.97/704.55 = 419.75/x
  3. Step 3: Cross multiply
    510.97x = 704.55 × 419.75
  4. Step 4: Simplify right side
    510.97x = 295,731.34
  5. Step 5: Solve for x
    x = 295,731.34/510.97
  6. Step 6: Final answer
    x = 578.77

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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.