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Finding the Fourth Proportional to 517.95, 714.90 and 321.33

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Solution

The fourth proportional to 517.95, 714.90 and 321.33 is: 443.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.95 : 714.90 = 321.33 : x
  2. Step 2: Convert to fraction form
    517.95/714.90 = 321.33/x
  3. Step 3: Cross multiply
    517.95x = 714.90 × 321.33
  4. Step 4: Simplify right side
    517.95x = 229,718.82
  5. Step 5: Solve for x
    x = 229,718.82/517.95
  6. Step 6: Final answer
    x = 443.52

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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.