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Finding the Fourth Proportional to 429.37, 646.65 and 378.54

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Solution

The fourth proportional to 429.37, 646.65 and 378.54 is: 570.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.37 : 646.65 = 378.54 : x
  2. Step 2: Convert to fraction form
    429.37/646.65 = 378.54/x
  3. Step 3: Cross multiply
    429.37x = 646.65 × 378.54
  4. Step 4: Simplify right side
    429.37x = 244,782.89
  5. Step 5: Solve for x
    x = 244,782.89/429.37
  6. Step 6: Final answer
    x = 570.10

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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.