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Finding the Fourth Proportional to 434.35, 654.71 and 409.26

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Solution

The fourth proportional to 434.35, 654.71 and 409.26 is: 616.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.35 : 654.71 = 409.26 : x
  2. Step 2: Convert to fraction form
    434.35/654.71 = 409.26/x
  3. Step 3: Cross multiply
    434.35x = 654.71 × 409.26
  4. Step 4: Simplify right side
    434.35x = 267,946.61
  5. Step 5: Solve for x
    x = 267,946.61/434.35
  6. Step 6: Final answer
    x = 616.89

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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.