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Finding the Fourth Proportional to 510.27, 759.99 and 507.78

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Solution

The fourth proportional to 510.27, 759.99 and 507.78 is: 756.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.27 : 759.99 = 507.78 : x
  2. Step 2: Convert to fraction form
    510.27/759.99 = 507.78/x
  3. Step 3: Cross multiply
    510.27x = 759.99 × 507.78
  4. Step 4: Simplify right side
    510.27x = 385,907.72
  5. Step 5: Solve for x
    x = 385,907.72/510.27
  6. Step 6: Final answer
    x = 756.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.