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Finding the Fourth Proportional to 517.63, 714.06 and 320.80

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Solution

The fourth proportional to 517.63, 714.06 and 320.80 is: 442.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.63 : 714.06 = 320.80 : x
  2. Step 2: Convert to fraction form
    517.63/714.06 = 320.80/x
  3. Step 3: Cross multiply
    517.63x = 714.06 × 320.80
  4. Step 4: Simplify right side
    517.63x = 229,068.77
  5. Step 5: Solve for x
    x = 229,068.77/517.63
  6. Step 6: Final answer
    x = 442.54

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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.