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Finding the Fourth Proportional to 438.57, 654.66 and 405.99

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Solution

The fourth proportional to 438.57, 654.66 and 405.99 is: 606.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.57 : 654.66 = 405.99 : x
  2. Step 2: Convert to fraction form
    438.57/654.66 = 405.99/x
  3. Step 3: Cross multiply
    438.57x = 654.66 × 405.99
  4. Step 4: Simplify right side
    438.57x = 265,785.41
  5. Step 5: Solve for x
    x = 265,785.41/438.57
  6. Step 6: Final answer
    x = 606.03

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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.