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Finding the Fourth Proportional to 435.86, 649.95 and 375.38

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Solution

The fourth proportional to 435.86, 649.95 and 375.38 is: 559.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.86 : 649.95 = 375.38 : x
  2. Step 2: Convert to fraction form
    435.86/649.95 = 375.38/x
  3. Step 3: Cross multiply
    435.86x = 649.95 × 375.38
  4. Step 4: Simplify right side
    435.86x = 243,976.35
  5. Step 5: Solve for x
    x = 243,976.35/435.86
  6. Step 6: Final answer
    x = 559.76

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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.