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Finding the Fourth Proportional to 1,743.62, 2,614.75 and 632.77

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Solution

The fourth proportional to 1,743.62, 2,614.75 and 632.77 is: 948.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.62 : 2,614.75 = 632.77 : x
  2. Step 2: Convert to fraction form
    1,743.62/2,614.75 = 632.77/x
  3. Step 3: Cross multiply
    1,743.62x = 2,614.75 × 632.77
  4. Step 4: Simplify right side
    1,743.62x = 1,654,535.36
  5. Step 5: Solve for x
    x = 1,654,535.36/1,743.62
  6. Step 6: Final answer
    x = 948.91

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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.