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Finding the Fourth Proportional to 438.74, 661.40 and 409.01

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Solution

The fourth proportional to 438.74, 661.40 and 409.01 is: 616.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.74 : 661.40 = 409.01 : x
  2. Step 2: Convert to fraction form
    438.74/661.40 = 409.01/x
  3. Step 3: Cross multiply
    438.74x = 661.40 × 409.01
  4. Step 4: Simplify right side
    438.74x = 270,513.86
  5. Step 5: Solve for x
    x = 270,513.86/438.74
  6. Step 6: Final answer
    x = 616.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.