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Finding the Fourth Proportional to 1,165.64, 1,748.79 and 472.15

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Solution

The fourth proportional to 1,165.64, 1,748.79 and 472.15 is: 708.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.64 : 1,748.79 = 472.15 : x
  2. Step 2: Convert to fraction form
    1,165.64/1,748.79 = 472.15/x
  3. Step 3: Cross multiply
    1,165.64x = 1,748.79 × 472.15
  4. Step 4: Simplify right side
    1,165.64x = 825,698.30
  5. Step 5: Solve for x
    x = 825,698.30/1,165.64
  6. Step 6: Final answer
    x = 708.36

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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.