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Finding the Fourth Proportional to 506.99, 760.77 and 386

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Solution

The fourth proportional to 506.99, 760.77 and 386 is: 579.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.99 : 760.77 = 386 : x
  2. Step 2: Convert to fraction form
    506.99/760.77 = 386/x
  3. Step 3: Cross multiply
    506.99x = 760.77 × 386
  4. Step 4: Simplify right side
    506.99x = 293,657.22
  5. Step 5: Solve for x
    x = 293,657.22/506.99
  6. Step 6: Final answer
    x = 579.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.