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Finding the Fourth Proportional to 473.76, 706.50 and 421.30

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Solution

The fourth proportional to 473.76, 706.50 and 421.30 is: 628.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.76 : 706.50 = 421.30 : x
  2. Step 2: Convert to fraction form
    473.76/706.50 = 421.30/x
  3. Step 3: Cross multiply
    473.76x = 706.50 × 421.30
  4. Step 4: Simplify right side
    473.76x = 297,648.45
  5. Step 5: Solve for x
    x = 297,648.45/473.76
  6. Step 6: Final answer
    x = 628.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.