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Finding the Fourth Proportional to 474.65, 708.16 and 422.68

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Solution

The fourth proportional to 474.65, 708.16 and 422.68 is: 630.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.65 : 708.16 = 422.68 : x
  2. Step 2: Convert to fraction form
    474.65/708.16 = 422.68/x
  3. Step 3: Cross multiply
    474.65x = 708.16 × 422.68
  4. Step 4: Simplify right side
    474.65x = 299,325.07
  5. Step 5: Solve for x
    x = 299,325.07/474.65
  6. Step 6: Final answer
    x = 630.62

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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.