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Finding the Fourth Proportional to 1,443.50, 2,165.36 and 469.64

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Solution

The fourth proportional to 1,443.50, 2,165.36 and 469.64 is: 704.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.50 : 2,165.36 = 469.64 : x
  2. Step 2: Convert to fraction form
    1,443.50/2,165.36 = 469.64/x
  3. Step 3: Cross multiply
    1,443.50x = 2,165.36 × 469.64
  4. Step 4: Simplify right side
    1,443.50x = 1,016,926.50
  5. Step 5: Solve for x
    x = 1,016,926.50/1,443.50
  6. Step 6: Final answer
    x = 704.49

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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.