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Finding the Fourth Proportional to 690.32, 1,033.29 and 443.19

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Solution

The fourth proportional to 690.32, 1,033.29 and 443.19 is: 663.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.32 : 1,033.29 = 443.19 : x
  2. Step 2: Convert to fraction form
    690.32/1,033.29 = 443.19/x
  3. Step 3: Cross multiply
    690.32x = 1,033.29 × 443.19
  4. Step 4: Simplify right side
    690.32x = 457,941.86
  5. Step 5: Solve for x
    x = 457,941.86/690.32
  6. Step 6: Final answer
    x = 663.37

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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.