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Finding the Fourth Proportional to 681.21, 1,024.91 and 407.51

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Solution

The fourth proportional to 681.21, 1,024.91 and 407.51 is: 613.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.21 : 1,024.91 = 407.51 : x
  2. Step 2: Convert to fraction form
    681.21/1,024.91 = 407.51/x
  3. Step 3: Cross multiply
    681.21x = 1,024.91 × 407.51
  4. Step 4: Simplify right side
    681.21x = 417,659.28
  5. Step 5: Solve for x
    x = 417,659.28/681.21
  6. Step 6: Final answer
    x = 613.11

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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.