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Finding the Fourth Proportional to 429.84, 647.33 and 322.38

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Solution

The fourth proportional to 429.84, 647.33 and 322.38 is: 485.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.84 : 647.33 = 322.38 : x
  2. Step 2: Convert to fraction form
    429.84/647.33 = 322.38/x
  3. Step 3: Cross multiply
    429.84x = 647.33 × 322.38
  4. Step 4: Simplify right side
    429.84x = 208,684.63
  5. Step 5: Solve for x
    x = 208,684.63/429.84
  6. Step 6: Final answer
    x = 485.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.