Home / 1,165.61-1,748.41-472.27

Finding the Fourth Proportional to 1,165.61, 1,748.41 and 472.27

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Solution

The fourth proportional to 1,165.61, 1,748.41 and 472.27 is: 708.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.61 : 1,748.41 = 472.27 : x
  2. Step 2: Convert to fraction form
    1,165.61/1,748.41 = 472.27/x
  3. Step 3: Cross multiply
    1,165.61x = 1,748.41 × 472.27
  4. Step 4: Simplify right side
    1,165.61x = 825,721.59
  5. Step 5: Solve for x
    x = 825,721.59/1,165.61
  6. Step 6: Final answer
    x = 708.40

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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.