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Finding the Fourth Proportional to 517.84, 779.36 and 388.53

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Solution

The fourth proportional to 517.84, 779.36 and 388.53 is: 584.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.84 : 779.36 = 388.53 : x
  2. Step 2: Convert to fraction form
    517.84/779.36 = 388.53/x
  3. Step 3: Cross multiply
    517.84x = 779.36 × 388.53
  4. Step 4: Simplify right side
    517.84x = 302,805.71
  5. Step 5: Solve for x
    x = 302,805.71/517.84
  6. Step 6: Final answer
    x = 584.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.