Home / 1,743.10-2,614.42-647.32

Finding the Fourth Proportional to 1,743.10, 2,614.42 and 647.32

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Solution

The fourth proportional to 1,743.10, 2,614.42 and 647.32 is: 970.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.10 : 2,614.42 = 647.32 : x
  2. Step 2: Convert to fraction form
    1,743.10/2,614.42 = 647.32/x
  3. Step 3: Cross multiply
    1,743.10x = 2,614.42 × 647.32
  4. Step 4: Simplify right side
    1,743.10x = 1,692,360.63
  5. Step 5: Solve for x
    x = 1,692,360.63/1,743.10
  6. Step 6: Final answer
    x = 970.89

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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.