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Finding the Fourth Proportional to 435.06, 647.10 and 396.09

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Solution

The fourth proportional to 435.06, 647.10 and 396.09 is: 589.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.06 : 647.10 = 396.09 : x
  2. Step 2: Convert to fraction form
    435.06/647.10 = 396.09/x
  3. Step 3: Cross multiply
    435.06x = 647.10 × 396.09
  4. Step 4: Simplify right side
    435.06x = 256,309.84
  5. Step 5: Solve for x
    x = 256,309.84/435.06
  6. Step 6: Final answer
    x = 589.14

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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.