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Finding the Fourth Proportional to 438.66, 656.81 and 409.04

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Solution

The fourth proportional to 438.66, 656.81 and 409.04 is: 612.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.66 : 656.81 = 409.04 : x
  2. Step 2: Convert to fraction form
    438.66/656.81 = 409.04/x
  3. Step 3: Cross multiply
    438.66x = 656.81 × 409.04
  4. Step 4: Simplify right side
    438.66x = 268,656.23
  5. Step 5: Solve for x
    x = 268,656.23/438.66
  6. Step 6: Final answer
    x = 612.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.