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Finding the Fourth Proportional to 434.03, 649.76 and 376.32

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Solution

The fourth proportional to 434.03, 649.76 and 376.32 is: 563.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.03 : 649.76 = 376.32 : x
  2. Step 2: Convert to fraction form
    434.03/649.76 = 376.32/x
  3. Step 3: Cross multiply
    434.03x = 649.76 × 376.32
  4. Step 4: Simplify right side
    434.03x = 244,515.80
  5. Step 5: Solve for x
    x = 244,515.80/434.03
  6. Step 6: Final answer
    x = 563.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.