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Finding the Fourth Proportional to 675.82, 1,019.29 and 653.92

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Solution

The fourth proportional to 675.82, 1,019.29 and 653.92 is: 986.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.82 : 1,019.29 = 653.92 : x
  2. Step 2: Convert to fraction form
    675.82/1,019.29 = 653.92/x
  3. Step 3: Cross multiply
    675.82x = 1,019.29 × 653.92
  4. Step 4: Simplify right side
    675.82x = 666,534.12
  5. Step 5: Solve for x
    x = 666,534.12/675.82
  6. Step 6: Final answer
    x = 986.26

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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.