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Finding the Fourth Proportional to 474.72, 708.21 and 462.66

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Solution

The fourth proportional to 474.72, 708.21 and 462.66 is: 690.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.72 : 708.21 = 462.66 : x
  2. Step 2: Convert to fraction form
    474.72/708.21 = 462.66/x
  3. Step 3: Cross multiply
    474.72x = 708.21 × 462.66
  4. Step 4: Simplify right side
    474.72x = 327,660.44
  5. Step 5: Solve for x
    x = 327,660.44/474.72
  6. Step 6: Final answer
    x = 690.22

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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.