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Finding the Fourth Proportional to 690.10, 1,033.32 and 445.88

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Solution

The fourth proportional to 690.10, 1,033.32 and 445.88 is: 667.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.10 : 1,033.32 = 445.88 : x
  2. Step 2: Convert to fraction form
    690.10/1,033.32 = 445.88/x
  3. Step 3: Cross multiply
    690.10x = 1,033.32 × 445.88
  4. Step 4: Simplify right side
    690.10x = 460,736.72
  5. Step 5: Solve for x
    x = 460,736.72/690.10
  6. Step 6: Final answer
    x = 667.64

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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.