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Finding the Fourth Proportional to 690.33, 1,029.35 and 681.83

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Solution

The fourth proportional to 690.33, 1,029.35 and 681.83 is: 1,016.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.33 : 1,029.35 = 681.83 : x
  2. Step 2: Convert to fraction form
    690.33/1,029.35 = 681.83/x
  3. Step 3: Cross multiply
    690.33x = 1,029.35 × 681.83
  4. Step 4: Simplify right side
    690.33x = 701,841.71
  5. Step 5: Solve for x
    x = 701,841.71/690.33
  6. Step 6: Final answer
    x = 1,016.68

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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.