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Finding the Fourth Proportional to 517.33, 714.53 and 377.22

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Solution

The fourth proportional to 517.33, 714.53 and 377.22 is: 521.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.33 : 714.53 = 377.22 : x
  2. Step 2: Convert to fraction form
    517.33/714.53 = 377.22/x
  3. Step 3: Cross multiply
    517.33x = 714.53 × 377.22
  4. Step 4: Simplify right side
    517.33x = 269,535.01
  5. Step 5: Solve for x
    x = 269,535.01/517.33
  6. Step 6: Final answer
    x = 521.01

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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.