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Finding the Fourth Proportional to 690.63, 1,029.28 and 684.88

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Solution

The fourth proportional to 690.63, 1,029.28 and 684.88 is: 1,020.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.63 : 1,029.28 = 684.88 : x
  2. Step 2: Convert to fraction form
    690.63/1,029.28 = 684.88/x
  3. Step 3: Cross multiply
    690.63x = 1,029.28 × 684.88
  4. Step 4: Simplify right side
    690.63x = 704,933.29
  5. Step 5: Solve for x
    x = 704,933.29/690.63
  6. Step 6: Final answer
    x = 1,020.71

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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.