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Finding the Fourth Proportional to 436.14, 649.50 and 433.98

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Solution

The fourth proportional to 436.14, 649.50 and 433.98 is: 646.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.14 : 649.50 = 433.98 : x
  2. Step 2: Convert to fraction form
    436.14/649.50 = 433.98/x
  3. Step 3: Cross multiply
    436.14x = 649.50 × 433.98
  4. Step 4: Simplify right side
    436.14x = 281,870.01
  5. Step 5: Solve for x
    x = 281,870.01/436.14
  6. Step 6: Final answer
    x = 646.28

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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.