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Finding the Fourth Proportional to 431.40, 644.16 and 406.68

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Solution

The fourth proportional to 431.40, 644.16 and 406.68 is: 607.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.40 : 644.16 = 406.68 : x
  2. Step 2: Convert to fraction form
    431.40/644.16 = 406.68/x
  3. Step 3: Cross multiply
    431.40x = 644.16 × 406.68
  4. Step 4: Simplify right side
    431.40x = 261,966.99
  5. Step 5: Solve for x
    x = 261,966.99/431.40
  6. Step 6: Final answer
    x = 607.25

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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.