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Finding the Fourth Proportional to 434.26, 647.21 and 433.59

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Solution

The fourth proportional to 434.26, 647.21 and 433.59 is: 646.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.26 : 647.21 = 433.59 : x
  2. Step 2: Convert to fraction form
    434.26/647.21 = 433.59/x
  3. Step 3: Cross multiply
    434.26x = 647.21 × 433.59
  4. Step 4: Simplify right side
    434.26x = 280,623.78
  5. Step 5: Solve for x
    x = 280,623.78/434.26
  6. Step 6: Final answer
    x = 646.21

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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.