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Finding the Fourth Proportional to 461.46, 688.80 and 406.77

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Solution

The fourth proportional to 461.46, 688.80 and 406.77 is: 607.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.46 : 688.80 = 406.77 : x
  2. Step 2: Convert to fraction form
    461.46/688.80 = 406.77/x
  3. Step 3: Cross multiply
    461.46x = 688.80 × 406.77
  4. Step 4: Simplify right side
    461.46x = 280,183.18
  5. Step 5: Solve for x
    x = 280,183.18/461.46
  6. Step 6: Final answer
    x = 607.17

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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.