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Finding the Fourth Proportional to 434.28, 649.44 and 374.16

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Solution

The fourth proportional to 434.28, 649.44 and 374.16 is: 559.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.28 : 649.44 = 374.16 : x
  2. Step 2: Convert to fraction form
    434.28/649.44 = 374.16/x
  3. Step 3: Cross multiply
    434.28x = 649.44 × 374.16
  4. Step 4: Simplify right side
    434.28x = 242,994.47
  5. Step 5: Solve for x
    x = 242,994.47/434.28
  6. Step 6: Final answer
    x = 559.53

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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.