Home / 1,743.61-2,614.73-647.72

Finding the Fourth Proportional to 1,743.61, 2,614.73 and 647.72

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Solution

The fourth proportional to 1,743.61, 2,614.73 and 647.72 is: 971.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.61 : 2,614.73 = 647.72 : x
  2. Step 2: Convert to fraction form
    1,743.61/2,614.73 = 647.72/x
  3. Step 3: Cross multiply
    1,743.61x = 2,614.73 × 647.72
  4. Step 4: Simplify right side
    1,743.61x = 1,693,612.92
  5. Step 5: Solve for x
    x = 1,693,612.92/1,743.61
  6. Step 6: Final answer
    x = 971.33

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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.