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Finding the Fourth Proportional to 510.68, 704.74 and 277.80

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Solution

The fourth proportional to 510.68, 704.74 and 277.80 is: 383.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.68 : 704.74 = 277.80 : x
  2. Step 2: Convert to fraction form
    510.68/704.74 = 277.80/x
  3. Step 3: Cross multiply
    510.68x = 704.74 × 277.80
  4. Step 4: Simplify right side
    510.68x = 195,776.08
  5. Step 5: Solve for x
    x = 195,776.08/510.68
  6. Step 6: Final answer
    x = 383.37

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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.