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Finding the Fourth Proportional to 517.91, 714.65 and 284.99

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Solution

The fourth proportional to 517.91, 714.65 and 284.99 is: 393.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.91 : 714.65 = 284.99 : x
  2. Step 2: Convert to fraction form
    517.91/714.65 = 284.99/x
  3. Step 3: Cross multiply
    517.91x = 714.65 × 284.99
  4. Step 4: Simplify right side
    517.91x = 203,665.24
  5. Step 5: Solve for x
    x = 203,665.24/517.91
  6. Step 6: Final answer
    x = 393.25

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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.