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Finding the Fourth Proportional to 2,332.53, 3,499.30 and 689.21

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Solution

The fourth proportional to 2,332.53, 3,499.30 and 689.21 is: 1,033.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.53 : 3,499.30 = 689.21 : x
  2. Step 2: Convert to fraction form
    2,332.53/3,499.30 = 689.21/x
  3. Step 3: Cross multiply
    2,332.53x = 3,499.30 × 689.21
  4. Step 4: Simplify right side
    2,332.53x = 2,411,749.04
  5. Step 5: Solve for x
    x = 2,411,749.04/2,332.53
  6. Step 6: Final answer
    x = 1,033.96

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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.