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Finding the Fourth Proportional to 510.88, 704.78 and 345.20

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Solution

The fourth proportional to 510.88, 704.78 and 345.20 is: 476.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.88 : 704.78 = 345.20 : x
  2. Step 2: Convert to fraction form
    510.88/704.78 = 345.20/x
  3. Step 3: Cross multiply
    510.88x = 704.78 × 345.20
  4. Step 4: Simplify right side
    510.88x = 243,290.06
  5. Step 5: Solve for x
    x = 243,290.06/510.88
  6. Step 6: Final answer
    x = 476.22

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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.