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Finding the Fourth Proportional to 434.18, 649.64 and 429.32

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Solution

The fourth proportional to 434.18, 649.64 and 429.32 is: 642.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.18 : 649.64 = 429.32 : x
  2. Step 2: Convert to fraction form
    434.18/649.64 = 429.32/x
  3. Step 3: Cross multiply
    434.18x = 649.64 × 429.32
  4. Step 4: Simplify right side
    434.18x = 278,901.27
  5. Step 5: Solve for x
    x = 278,901.27/434.18
  6. Step 6: Final answer
    x = 642.37

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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.