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Finding the Fourth Proportional to 435.34, 649.63 and 396.53

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Solution

The fourth proportional to 435.34, 649.63 and 396.53 is: 591.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.34 : 649.63 = 396.53 : x
  2. Step 2: Convert to fraction form
    435.34/649.63 = 396.53/x
  3. Step 3: Cross multiply
    435.34x = 649.63 × 396.53
  4. Step 4: Simplify right side
    435.34x = 257,597.78
  5. Step 5: Solve for x
    x = 257,597.78/435.34
  6. Step 6: Final answer
    x = 591.72

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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.