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Finding the Fourth Proportional to 434.10, 648.60 and 322.45

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Solution

The fourth proportional to 434.10, 648.60 and 322.45 is: 481.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.10 : 648.60 = 322.45 : x
  2. Step 2: Convert to fraction form
    434.10/648.60 = 322.45/x
  3. Step 3: Cross multiply
    434.10x = 648.60 × 322.45
  4. Step 4: Simplify right side
    434.10x = 209,138.24
  5. Step 5: Solve for x
    x = 209,138.24/434.10
  6. Step 6: Final answer
    x = 481.77

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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.