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Finding the Fourth Proportional to 690.84, 1,030.26 and 681.54

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Solution

The fourth proportional to 690.84, 1,030.26 and 681.54 is: 1,016.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.84 : 1,030.26 = 681.54 : x
  2. Step 2: Convert to fraction form
    690.84/1,030.26 = 681.54/x
  3. Step 3: Cross multiply
    690.84x = 1,030.26 × 681.54
  4. Step 4: Simplify right side
    690.84x = 702,163.40
  5. Step 5: Solve for x
    x = 702,163.40/690.84
  6. Step 6: Final answer
    x = 1,016.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.