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Finding the Fourth Proportional to 517.58, 714.04 and 320.95

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Solution

The fourth proportional to 517.58, 714.04 and 320.95 is: 442.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.58 : 714.04 = 320.95 : x
  2. Step 2: Convert to fraction form
    517.58/714.04 = 320.95/x
  3. Step 3: Cross multiply
    517.58x = 714.04 × 320.95
  4. Step 4: Simplify right side
    517.58x = 229,168.55
  5. Step 5: Solve for x
    x = 229,168.55/517.58
  6. Step 6: Final answer
    x = 442.77

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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.