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Finding the Fourth Proportional to 461.09, 693.46 and 400.95

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Solution

The fourth proportional to 461.09, 693.46 and 400.95 is: 603.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.09 : 693.46 = 400.95 : x
  2. Step 2: Convert to fraction form
    461.09/693.46 = 400.95/x
  3. Step 3: Cross multiply
    461.09x = 693.46 × 400.95
  4. Step 4: Simplify right side
    461.09x = 278,043.29
  5. Step 5: Solve for x
    x = 278,043.29/461.09
  6. Step 6: Final answer
    x = 603.01

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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.