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Finding the Fourth Proportional to 474.08, 706.67 and 421.76

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Solution

The fourth proportional to 474.08, 706.67 and 421.76 is: 628.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.08 : 706.67 = 421.76 : x
  2. Step 2: Convert to fraction form
    474.08/706.67 = 421.76/x
  3. Step 3: Cross multiply
    474.08x = 706.67 × 421.76
  4. Step 4: Simplify right side
    474.08x = 298,044.78
  5. Step 5: Solve for x
    x = 298,044.78/474.08
  6. Step 6: Final answer
    x = 628.68

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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.