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Finding the Fourth Proportional to 434.63, 648.02 and 421.07

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Solution

The fourth proportional to 434.63, 648.02 and 421.07 is: 627.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.63 : 648.02 = 421.07 : x
  2. Step 2: Convert to fraction form
    434.63/648.02 = 421.07/x
  3. Step 3: Cross multiply
    434.63x = 648.02 × 421.07
  4. Step 4: Simplify right side
    434.63x = 272,857.23
  5. Step 5: Solve for x
    x = 272,857.23/434.63
  6. Step 6: Final answer
    x = 627.79

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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.