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Finding the Fourth Proportional to 429.60, 641.88 and 372

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Solution

The fourth proportional to 429.60, 641.88 and 372 is: 555.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.60 : 641.88 = 372 : x
  2. Step 2: Convert to fraction form
    429.60/641.88 = 372/x
  3. Step 3: Cross multiply
    429.60x = 641.88 × 372
  4. Step 4: Simplify right side
    429.60x = 238,779.36
  5. Step 5: Solve for x
    x = 238,779.36/429.60
  6. Step 6: Final answer
    x = 555.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.