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Finding the Fourth Proportional to 681.21, 1,026.41 and 562.14

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Solution

The fourth proportional to 681.21, 1,026.41 and 562.14 is: 847.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.21 : 1,026.41 = 562.14 : x
  2. Step 2: Convert to fraction form
    681.21/1,026.41 = 562.14/x
  3. Step 3: Cross multiply
    681.21x = 1,026.41 × 562.14
  4. Step 4: Simplify right side
    681.21x = 576,983.31
  5. Step 5: Solve for x
    x = 576,983.31/681.21
  6. Step 6: Final answer
    x = 847.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.