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Finding the Fourth Proportional to 461.61, 693.80 and 380.98

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Solution

The fourth proportional to 461.61, 693.80 and 380.98 is: 572.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.61 : 693.80 = 380.98 : x
  2. Step 2: Convert to fraction form
    461.61/693.80 = 380.98/x
  3. Step 3: Cross multiply
    461.61x = 693.80 × 380.98
  4. Step 4: Simplify right side
    461.61x = 264,323.92
  5. Step 5: Solve for x
    x = 264,323.92/461.61
  6. Step 6: Final answer
    x = 572.61

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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.