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Finding the Fourth Proportional to 517.57, 714.19 and 419.56

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Solution

The fourth proportional to 517.57, 714.19 and 419.56 is: 578.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.57 : 714.19 = 419.56 : x
  2. Step 2: Convert to fraction form
    517.57/714.19 = 419.56/x
  3. Step 3: Cross multiply
    517.57x = 714.19 × 419.56
  4. Step 4: Simplify right side
    517.57x = 299,642.72
  5. Step 5: Solve for x
    x = 299,642.72/517.57
  6. Step 6: Final answer
    x = 578.94

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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.