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Finding the Fourth Proportional to 688.10, 1,030.32 and 443.88

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Solution

The fourth proportional to 688.10, 1,030.32 and 443.88 is: 664.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.10 : 1,030.32 = 443.88 : x
  2. Step 2: Convert to fraction form
    688.10/1,030.32 = 443.88/x
  3. Step 3: Cross multiply
    688.10x = 1,030.32 × 443.88
  4. Step 4: Simplify right side
    688.10x = 457,338.44
  5. Step 5: Solve for x
    x = 457,338.44/688.10
  6. Step 6: Final answer
    x = 664.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.