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Finding the Fourth Proportional to 435.74, 649.76 and 375.26

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Solution

The fourth proportional to 435.74, 649.76 and 375.26 is: 559.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.74 : 649.76 = 375.26 : x
  2. Step 2: Convert to fraction form
    435.74/649.76 = 375.26/x
  3. Step 3: Cross multiply
    435.74x = 649.76 × 375.26
  4. Step 4: Simplify right side
    435.74x = 243,825.22
  5. Step 5: Solve for x
    x = 243,825.22/435.74
  6. Step 6: Final answer
    x = 559.57

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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.