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Finding the Fourth Proportional to 681.62, 1,024.25 and 407.94

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Solution

The fourth proportional to 681.62, 1,024.25 and 407.94 is: 613.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.62 : 1,024.25 = 407.94 : x
  2. Step 2: Convert to fraction form
    681.62/1,024.25 = 407.94/x
  3. Step 3: Cross multiply
    681.62x = 1,024.25 × 407.94
  4. Step 4: Simplify right side
    681.62x = 417,826.66
  5. Step 5: Solve for x
    x = 417,826.66/681.62
  6. Step 6: Final answer
    x = 613.00

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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.