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Finding the Fourth Proportional to 434.16, 649.62 and 382.32

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Solution

The fourth proportional to 434.16, 649.62 and 382.32 is: 572.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.16 : 649.62 = 382.32 : x
  2. Step 2: Convert to fraction form
    434.16/649.62 = 382.32/x
  3. Step 3: Cross multiply
    434.16x = 649.62 × 382.32
  4. Step 4: Simplify right side
    434.16x = 248,362.72
  5. Step 5: Solve for x
    x = 248,362.72/434.16
  6. Step 6: Final answer
    x = 572.05

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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.