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Finding the Fourth Proportional to 832.97, 1,254.26 and 688.11

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Solution

The fourth proportional to 832.97, 1,254.26 and 688.11 is: 1,036.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.97 : 1,254.26 = 688.11 : x
  2. Step 2: Convert to fraction form
    832.97/1,254.26 = 688.11/x
  3. Step 3: Cross multiply
    832.97x = 1,254.26 × 688.11
  4. Step 4: Simplify right side
    832.97x = 863,065.41
  5. Step 5: Solve for x
    x = 863,065.41/832.97
  6. Step 6: Final answer
    x = 1,036.14

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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.