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Finding the Fourth Proportional to 429.17, 643.75 and 104.54

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Solution

The fourth proportional to 429.17, 643.75 and 104.54 is: 156.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.17 : 643.75 = 104.54 : x
  2. Step 2: Convert to fraction form
    429.17/643.75 = 104.54/x
  3. Step 3: Cross multiply
    429.17x = 643.75 × 104.54
  4. Step 4: Simplify right side
    429.17x = 67,294.14
  5. Step 5: Solve for x
    x = 67,294.14/429.17
  6. Step 6: Final answer
    x = 156.80

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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.