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Finding the Fourth Proportional to 1,433.40, 2,149.72 and 567.72

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Solution

The fourth proportional to 1,433.40, 2,149.72 and 567.72 is: 851.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.40 : 2,149.72 = 567.72 : x
  2. Step 2: Convert to fraction form
    1,433.40/2,149.72 = 567.72/x
  3. Step 3: Cross multiply
    1,433.40x = 2,149.72 × 567.72
  4. Step 4: Simplify right side
    1,433.40x = 1,220,439.04
  5. Step 5: Solve for x
    x = 1,220,439.04/1,433.40
  6. Step 6: Final answer
    x = 851.43

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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.