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Finding the Fourth Proportional to 510.93, 704.68 and 344.88

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Solution

The fourth proportional to 510.93, 704.68 and 344.88 is: 475.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.93 : 704.68 = 344.88 : x
  2. Step 2: Convert to fraction form
    510.93/704.68 = 344.88/x
  3. Step 3: Cross multiply
    510.93x = 704.68 × 344.88
  4. Step 4: Simplify right side
    510.93x = 243,030.04
  5. Step 5: Solve for x
    x = 243,030.04/510.93
  6. Step 6: Final answer
    x = 475.66

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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.