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Finding the Fourth Proportional to 423.61, 634.72 and 260.83

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Solution

The fourth proportional to 423.61, 634.72 and 260.83 is: 390.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.61 : 634.72 = 260.83 : x
  2. Step 2: Convert to fraction form
    423.61/634.72 = 260.83/x
  3. Step 3: Cross multiply
    423.61x = 634.72 × 260.83
  4. Step 4: Simplify right side
    423.61x = 165,554.02
  5. Step 5: Solve for x
    x = 165,554.02/423.61
  6. Step 6: Final answer
    x = 390.82

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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.