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Finding the Fourth Proportional to 423.80, 631.30 and 416.92

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Solution

The fourth proportional to 423.80, 631.30 and 416.92 is: 621.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.80 : 631.30 = 416.92 : x
  2. Step 2: Convert to fraction form
    423.80/631.30 = 416.92/x
  3. Step 3: Cross multiply
    423.80x = 631.30 × 416.92
  4. Step 4: Simplify right side
    423.80x = 263,201.60
  5. Step 5: Solve for x
    x = 263,201.60/423.80
  6. Step 6: Final answer
    x = 621.05

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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.