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Finding the Fourth Proportional to 473.80, 714.28 and 405.88

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Solution

The fourth proportional to 473.80, 714.28 and 405.88 is: 611.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.80 : 714.28 = 405.88 : x
  2. Step 2: Convert to fraction form
    473.80/714.28 = 405.88/x
  3. Step 3: Cross multiply
    473.80x = 714.28 × 405.88
  4. Step 4: Simplify right side
    473.80x = 289,911.97
  5. Step 5: Solve for x
    x = 289,911.97/473.80
  6. Step 6: Final answer
    x = 611.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.